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Chapter 3: Q. 3.54 (page 342)

Alison has three times as many dimes as quarters in her purse. She has $9.35altogether. How many coins of each type does she have?

Short Answer

Expert verified

Alison has 17quarters and 51dimes in her purse.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Alison has three times as many dimes as quarters in her purse.

We know, the value of a dime is $0.1and value of quarter is $0.25. The total value of all the coins is $9.35.

Assume nand dto be the number of nickels and dimes.

localid="1647163959363" d=3q

Make the table,


02

Step 2. Form the equation.

Consider the table, we can see,

3q0.1+0.25q=9.350.3q+0.25q=9.350.55q=9.35q=17

Then,

=3脳17=51

Therefore, Alison has 17quarters and51dimes in her purse.

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