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Chapter 3: Q. 161 (page 351)

Jaime has $2.60in dimes and nickels. The number of dimes is 14 more than the number of nickels. How many of each coin does he have?

Short Answer

Expert verified

The number of nickels are8and dimes are22.

Step by step solution

01

Step 1. Assumption Of variables

Let he number of nickels be x

Therefore ,

According to the question,

number of dimes will be14+x

Value of each dime=0.10

The total value of dimes will be0.10(x+14)

Value of each nickel is 0.05

Therefore, total value of nickels will be0.05x

02

Step 2. Solution of the equation

Now, According to the question,

0.10(x+14)+0.05x=2.600.10x+1.4+0.05x=2.600.15x+1.4=2.600.15x=2.60-1.40.15x0.15=1.20.15x=814+x=14+8=22

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