Atharv paid $47.24 for stamps so he could mail thank you notes for wedding gifts. The number of $0.05 stamps was 33 more than twice the number of $0.37 stamps.

Question

Atharv paid $47.24 for stamps so he could mail thank you notes for wedding gifts. The number of $0.05 stamps was 33 more than twice the number of $0.37 stamps. How many $0.37 stamps, and $0.05 stamps were purchased?

Answer 1

F=33 + 2T

47.24 = .05F + .37T

4724 =5F + 37T = 5(33+2T)+37T = 165+47T

47T = 4724-165 = 4559

T =4559/47 = 97 37cent stamps

F=33+2(97) = 33+194 = 227 5cent stamps

97(.37) + 227(.05) = 35.89+ 11.35= 47.24