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Chapter 2: Q. 2.77 (page 150)

Jesse has $6.55 worth of quarters and nickels in his pocket. The number of nickels is five more than two times the number of quarters. How many nickels and how many quarters does Jesse have?

Short Answer

Expert verified

The number of quarter is 18

The number of Nickels is 41

Step by step solution

01

Step 1.  Given data

Jesse has $6.55 worth of quarters and nickels in his pocket. The number of nickels is five more than two times the number of quarters.

02

Step 2.  To Find

How many nickels and how many quarters does Jesse have?

03

Step 3. Explanation

Let The number of quarters is - P

Then number of Nickels is - 2P+5

Type
Number×Value($)=TotalValue($)
QuartersP0.250.25P
Nickels2P+50.050.05(2P+5)



$6.55
04

Step 4. Calculation

After Analyzing the table, we can say that -

0.25P+0.05(2P+5)=6.55

0.25P+0.1P+0.25=6.55

0.35P+0.25=6.55

0.35P=6.3

P=18

The number of quarter is = 18

The number of Nickels is = 2P+5

=(2×18+5)

= 41

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