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.

*


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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?


Possible Answers:

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.


Correct answer:

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."


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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?


Possible Answers:

cannot be determined


Correct answer:

*


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
*
.


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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?


Possible Answers:
Correct answer:

*


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

*
.

*

*

*


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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?


Possible Answers:
Correct answer:

*


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 
*
.

*

*


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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?


Possible Answers:
Correct answer:

*


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.


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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?


Possible Answers:

9


12


15


6


4


Correct answer:

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:

*

 


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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?


Possible Answers:
Correct answer:

*


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

*
.


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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?


Possible Answers:
Correct answer:

*


Explanation:

The cost of mailing each invitation is

*
.

To invite everyone, it will certainly price

*
.

Then the adjust is

*
.

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


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


What number is

*
of
*
?


Possible Answers:
Correct answer:

*


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:

 

*


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