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Chapter 3: Q. 164 (page 351)

Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?

Short Answer

Expert verified

Quarters are14and dimes are28.

Step by step solution

01

Step 1. Given Information

Total amount of money=$6.30

Let he number of quarters be x

Therefore ,

According to the question,

number of dimes will be 14+x

02

Step 2. Solution of the equation 

Now, According to the question,

0.25x+0.10(x+14)=6.300.25x+0.10x+1.4=6.300.35x+1.4-1.4=6.30-1.40.35x=4.90.35x0.35=4.90.35x=1414+x=14+14=28

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