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Chapter 3: Q. 174 (page 351)

Julio has $2.75 in his pocket in nickels and dimes. The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin.

Short Answer

Expert verified

The number of nickels is 15 and number of dimes is20

Step by step solution

01

Step 1. Given Information

Total amount=$2.75

There are two types of Money that is nickels and dimes.

Let he number of nickels bex

Therefore ,

According to the question,

number of dimes will be 2x-10

Value of each dime0.10

The total value of dimes will be0.10(2x-10)

Value of each nickel is0.05

Therefore, total value of nickels will be0.05x

02

Step 2. Solution of the equation  

Now, According to the question,

0.10(2x-10)+0.05x=2.750.2x-1+0.05x=2.750.25x-1=2.750.25x=2.75+10.25x=3.75x=15

Therefore,

2x-10=2脳15-10=30-10=20

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