EMS Homework Help
Unit Rate
Overview: You will learn how to find the unit rate and cross multiply.
Definition: A comparison of two measurements in which one of the terms has a value of one.
Example:  There are 5 boxes of juices.  The first box has 5 juices for $5. The second box has 6 juices for $3. The third box has 10 juices for  $7.76. The fourth box has 8 juices for $3.50. The fifth box has 20 juices for $22. Which box has the smallest unit price? 

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How to solve the problem

Step 1:  Look at the problems again and find the important numbers ( 5 juices for $5, 6 juices for $3, 10 juices for  $7.76, 8 juices for $3.50, and 20 juices for $22) by highlighting them in the problem. 

There are 5 boxes of juices.  The first box has
5 juices for $5. The second box has 6 juices for $3. The third box has 10 juices for  $7.76. The fourth box has 8 juices for $3.50. The fifth box has 20 juices for $22. Which box has the smallest unit price? 

Step 2: Draw out your equation. You will cross multiply.

Step A:

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Step B:

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Cross Multiply and that's what you'll get.

Step C:

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You divide 5 to get rid of x.

Step D:

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When you divide by 5 your answer is x=1.

Step 3:  Do the same formula with every set of numbers; find the unit rate for all the numbers [( 5 juices for $ 5 =$1 per juice ) ( 6 juices for $3 =   $0.50 per juice) ( 10 juices for  $7.76 = $0.78 per juice) ( 8 juices for $3.50 = $0.44 per juice) ( 20 juices for $22 = $ 1.10 per juice)]

Step 4: Find the answer to the question.  Look at the smallest number. The smallest numbers are 8 juices for $3.50 = 1 juice for $0.44.

Step 5: Write the answer. The box that has the smallest unit price is the fourth box; 8 juices for $3.50 =$0.44 per juice.

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