High School Math Assistance » Pre-Algebra » Algebraic Equations » Word Problems and Algebraic Equations » How to execute word troubles wbelow one amount is unwell-known

Sarah sells necklaces for

each. She sells
necklaces in a month at this price. If she used a
% discount to the price of her necklaces, she would offer an additional
necklaces in a month. How a lot added money would Sarah make in sales if she marketed her necklaces with the
% discount for a month?

Explanation:

To find just how much additional money Sarah would certainly make by applying the discount, find the difference in between her earnings in a normal month and also a month wright here the discount is used. In a normal month, multiply the normal price by the normal amount sold to uncover the normal earnings:

To uncover income at the discounted price, first calculate just how a lot each necklace will certainly price with the

% discount. To carry out this, subtract the amount discounted (calculated by percent as a portion of
multiplied by the original price) from the original price.

You are watching: Determine which quantities are known and which are unknown.

If

necklaces are sold at the brand-new discounted price of
each, multiply these together to discover the complete earnings through the discount.

Finally, subtract the earnings without the discount from the earnings through the discount to find the added money made by using the discount.

Report an Error

### Example Question #1 : How To Do Word Problems Where One Quantity Is Unwell-known

Rojo Salsa is on sale at a price of

for
jars of
ounces each. Verde Salsa is on sale at a price of
for
jars of
ounces each. Which of the adhering to statements is true?

An ounce of Verde Salsa expenses more than an ounce of Rojo Salsa.

A jar of Verde Salsa costs more than a jar of Rojo Salsa.

An ounce of Rojo Salsa is the very same price as an ounce of Verde Salsa.

Verde salsa sells at

per ounce.

An ounce of Rojo Salsa expenses more than an ounce of Verde Salsa.

An ounce of Rojo Salsa is the exact same price as an ounce of Verde Salsa.

Explanation:

The statement "A jar of Verde Salsa prices more than a jar of Rojo Salsa" can be tested by comparing the price per jar of each salsa.

versus

The statement is false since the price of Rojo per jar is higher.

The continuing to be statements over can all be prcooktop true or false by finding the price per ounce of each salsa.

Rojo Salsa is on sale at a price of

for
jars of
ounces each. The complying with operations have the right to be used to determine the price of Rojo Salsa per ounce:

for Rojo Salsa.

Verde Salsa is on sale at a price of

for
jars of
ounces each. The complying with operations have the right to be supplied to determine the price of Verde Salsa per ounce.

for Verde Salsa.

The only true statement is "An ounce of Rojo Salsa is the same price as an ounce of Verde Salsa."

Report an Error

### Example Question #3 : How To Do Word Problems Wright here One Quantity Is Unrecognized

Sally went shopping and bought 2 shirts. One shirt expense \$15, and also she phelp a complete of \$27 for both shirts. What was the expense of the various other shirt?

cannot be determined

Explanation:

To resolve this word difficulty, put up an algebraic equation, placing

in for the unrecognized value of the second shirt. The equation is
because we understand the price of the two shirts will complete
.

To deal with for

, subtract
from each side. This results in
.

Report an Error

### Example Concern #4 : How To Do Word Problems Wright here One Quantity Is Unwell-known

A shirt expenses \$12 after a 15% discount. What was the original price of the shirt?

Explanation:

Convert 15% to a decimal.

Let the original price equal

. The discount will be 15% of
. Subtracting the discount from the original price will equal the amount phelp, \$12.

Using this equation, we have the right to resolve for

.

Report an Error

### Example Concern #1 : How To Do Word Problems Wbelow One Quantity Is Unrecognized

A farmer has

devices of fence. If he uses this to build a square fence, what will certainly be the size of each side?

Explanation:

If this is a square fence, then each of the 4 sides will certainly be equal.

The fence in question will certainly come to be the perimeter of that square.

Due to the fact that

as soon as working with a square, for this problem
.

Report an Error

### Example Inquiry #1 : How To Do Word Problems Wbelow One Quantity Is Unwell-known

The location of a rectangle is

. How many type of whole
by
rectangles deserve to fit inside of this bigger rectangle?

Explanation:

First we need to find the area of the smaller rectangle.

Now to find out exactly how many type of can fit, we divide the full location by the smaller area.

However, the trouble is asking just how many kind of WHOLE rectangles have the right to fit. Because of this only

have the right to fit.

Report an Error

### Example Inquiry #7 : How To Do Word Problems Wright here One Quantity Is Unwell-known

40% of Eric"s socks are black, and also the rest are white. If he has actually 6 pairs of black socks, how many type of pairs of white socks does he have?

9

12

15

6

4

9

Explanation:

First, usage the information to discover the complete number of socks Eric has by establishing up a proportion:

, where
is the variety of total socks.

Once you cross multiply and also divide, you will discover that

.

To discover the number of white socks Eric has, subtract the number of black socks

from the full number of socks:

Report an Error

### Example Concern #8 : How To Do Word Problems Where One Quantity Is Unwell-known

A chemistry student has

of a
acid solution. She demands a
acid solution for an experiement. How much pure water have to she add?

Explanation:

pure water and
pure acid

In basic, mixture troubles have the form:

, wbelow
volume and also
percent

The equation to fix becomes:

Then the solution is

.

Report an Error

### Example Concern #2 : How To Do Word Problems Wbelow One Quantity Is Unknown

Sarah is having a birthday party. She wants to invite

friends. Each invitation costs
, and also each stamp costs
. If she plans to mail every one of the invitations, exactly how a lot adjust have to she get back if she pays via a
bill?

Explanation:

The cost of mailing each invitation is

.

To invite everyone, it will certainly price

.

.

See more: What Is The Opposite Of A Paladin ? Synonyms & Antonyms Of Paladin

Report an Error

### Example Inquiry #10 : How To Do Word Problems Where One Quantity Is Unknown

What number is

of
?

Explanation:

Look for the verbal cues in the question. IS converts to "equals" and also OF converts to multiplication.

Thus the equation to deal with becomes:

Report an Error
← Previous 1 2 3 Next →
View Tutors
Tyler Certified Tutor
Ball State University, Bachelor of Science, Economics. Purdue College Global, Master of Science, Indevelopment Technology.
View Tutors
Anu Certified Tutor
Foreign University, Bachelor of Science, Predentistry. College of Southern Mississippi, Master in Public Health, Public He...
View Tutors
Melody Certified Tutor
College of Houston, Bachelor of Science, Early Childhood Special Education.

### All High School Math Reresources

8 Diagnostic Tests 613 Practice Tests Inquiry of the Day Flashcards Discover by Concept
Popular Subjects
Algebra Tutors in Philadelphia, Physics Tutors in Boston, Computer Science Tutors in Miami, Computer Science Tutors in Seattle, Chemistry Tutors in Chicearlier, Calculus Tutors in Washington DC, Calculus Tutors in San Francisco-Bay Area, ISEE Tutors in Houston, Spanish Tutors in Houston, Physics Tutors in Miami
Popular Courses & Classes
ACT Courses & Classes in Seattle, MCAT Courses & Classes in Chicago, GMAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Houston, ACT Courses & Classes in Denver, GMAT Courses & Classes in Houston, SAT Courses & Classes in Seattle, GRE Courses & Classes in Philadelphia, SSAT Courses & Classes in Seattle, GMAT Courses & Classes in Chicago
Popular Test Prep
GMAT Test Prep in Chicback, LSAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Atlanta, GMAT Test Prep in Houston, GRE Test Prep in Houston, ACT Test Prep in Seattle, SAT Test Prep in Phoenix, LSAT Test Prep in New York City, ISEE Test Prep in Washington DC, MCAT Test Prep in Atlanta
Report an concern with this question

If you"ve discovered an worry with this question, please let us recognize. With the aid of the community we have the right to proceed to boost our educational resources.

Do not fill in this field