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Chapter 3: Q. 176 (page 351)

Tyler has $9.70in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many of each coin does he have?

Short Answer

Expert verified

The number of quarters is36 and number of dimes is 7.

Step by step solution

01

Step 1. Given Information 

Total Amount =$9.70

Number of quarters is eight more than four times the number of dimes.

02

Step 2. Naming the variables 

Let the number of dimes be x.

We know, number of quarters = 4脳number of dimes +8

Therefore, number of quarters=4x+8

03

Step 3. Creating the table 

The required table is

04

Step 4. Solving the equation 

Translating into equation we get,

0.10x+0.25(4x+8)=9.70鈬�0.10x+x+2=9.70鈬�1.10x=9.70-2鈬�1.10x=7.70鈬�x=7.701.10鈬�x=7鈭�4x+8=47+8鈬�4x+8=28+8鈬�4x+8=36

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