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Chapter 2: Q. 558 (page 218)

Yumi spent \(34.15 buying stamps. The number of \)0.56 stamps she bought was 10 less than four times the number of $0.41 stamps. How many of each did she buy?

Short Answer

Expert verified

The number of $0.56 stamps is 50 and number of $0.41 stamps be 15 .

Step by step solution

01

Step 1. Given Information.

Total amount for buying stamps =$34.15.

The number of $0.56 stamps she bought was 10 less than four times the number of $0.41 stamps.

02

Step 2. System of equation.

Let the number of $0.56 stamps be x .

Let the number of $0.41 stamps be y .

Therefore, The equation are:-

0.56x+0.41y=34.15(1)x=4y-10(2)

03

Step 3. Solve the system of equation .

From equation (2) , Substitute the value of x in equation (1) , we get:-

0.56(4y-10)+0.41y=34.152.24y-5.6+0.41y=34.152.65y=39.75y=15

Substitute the value of y=15in equation (2) , we get:-

x=4脳15-10x=60-10x=50

Therefore, The number of $0.56 stamps is 50 and number of $0.41 stamps be 15 .

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