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Kailee paid $14.74 for stamps. The number of 49-cent stamps was four less than three time the number of 20-cent stamps. How many 49-cent stamps and how many 20-cent stamps did Kailee buy?

Short Answer

Expert verified

The number of 20-cent stamps = 10

The number of 49-cent stamps = 26

Step by step solution

01

Step 1.  Given data

Kailee paid $14.74 for stamps. The number of 49-cent stamps was four less than three time the number of 20-cent stamps.

02

Step 2.  To Find

How many 49-cent stamps and how many 20-cent stamps did Kailee buy?

03

Step 3.  Explanation

Let the number of 20-cent stamp = x

Then the number of 49-cent stamp = 3x-4

TypeNumber×Value($)=TotalValue($)
49 cent stamps3x-40.490.49(3x-4)
20 cent stampsx0.200.20x



$14.74
04

Step 4.  Calculation 

After Analyzing the table, we can say that -

0.49(3x-4)+0.20x=14.74

1.47x-1.96+0.20x=14.74

1.67x=14.74+1.96

1.67x=16.7

x=10

The number of 20-cent stamps = 10

The number of 49-cent stamps = (3x-4)

= (3×10-4)

= 26

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