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Chapter 3: Q. 162 (page 351)

Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he have?

Short Answer

Expert verified

The number of dimes is 8and number of nickels is19

Step by step solution

01

Step 1. Given Information

Total amount of money=$1.75

Let he number of dimes be x

Therefore ,

According to the question,

number of nickels will be11+x

02

Step 2. Solution of the equation 

Value of each dime0.10

Value of each nickel is 0.05

Now, According to the question,

0.10x+0.05(x+11)=1.750.10x+0.05x+0.55=1.750.15x+0.55=1.750.15x=1.20.15x0.15=1.20.15x=811+x=11+8=19.

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