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Chapter 2: Q. 2.78 (page 150)

Elane has $7.00 total in dimes and nickel in her coin jar. The number of dimes that Elane has is seven less than three times the number of nickels. How many of each coin does Elane have?

Short Answer

Expert verified

The number of Dimes is = 59

The number of Nickels is = 22

Step by step solution

01

Step 1. Given data

Elane has $7.00 total in dimes and nickel in her coin jar. The number of dimes that Elane has is seven less than three times the number of nickels.

02

Step 2.  To Find

How many of each coin does Elane have?

03

Step 2.  Explanation

Let the number of Nickels is = P

Then the number of Dimes is = 3P-7

TypeNumber×Value($)=TotalValue($)
NickelsP0.050.05P
Dimes3P-70.10.1(3P-7)



$7.00
04

Step 4.  Calculation

After Analyzing the table, We say that -

0.05P+0.1(3P-7)=7

0.05P+0.3P-0.7=7

0.35P=7.7

P=22

The number of Nickels is = 22

The number of Dimes is = 3P-7

= 3×22-7

= 59

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