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Chapter 3: Q. 175 (page 351)

Chi has $11.30in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many of each are there?

Short Answer

Expert verified

The number of quarters is20and number of dimes is63.

Step by step solution

01

Step 1. Given Information

Total Amount =$11.30

Number of dimes is three more than three times the number of quarters.

02

Step 2. Naming the variables

Let the number of quarters be x.

We know, number of dimes = 3脳number of quarters +3

Therefore, number of dimes=3x+3

03

Step 3. Creating the table

The required table is

04

Step 4. Solving the equation

Translating into equation we get,

0.25x+0.10(3x+3)=11.30鈬�0.25x+0.30x+0.30=11.30鈬�0.55x=11.30-0.30鈬�0.55x=11鈬�x=110.55鈬�x=20鈭�3x+3=320+3鈬�3x+3=60+3鈬�3x+x=63

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