Question

Yumi spent $34.15 buying stamps. The number of 56-cent stamps she bought was 10 less than 4 times the number of 41-cent stamps. How many of each did she buy?

Answer 1

Answer:

• 15 @ 41 cents
• 50 @ 56 cents

Step-by-step explanation:

Let x represent the number of 41-cent stamps Yumi bought. Then the number of 56-cent stamps she bought was 4x-10. Her total purchase was ...

  0.41x +0.56(4x -10) = 34.15

  2.65x -5.60 = 34.15 . . . . . . . eliminate parentheses, collect terms

  2.65x = 39.75 . . . . . . . . . . . . add 5.60

  x = 15 . . . . . . . . . . . . . . divide by 2.65

  4x-10 = 50

Yumi bought 15 41-cent stamps and 50 56-cent stamps.