Nathan buys a combination of 45 cents stamps and 65 cents stamps at the post office. If he spends exactly $24.50 on 50 stamps, how many of each type did he buy?
2 Answers
Feb 12, 2018
The number of 45 cent stamps is 40 and the number of 65 cent stamps is 10.
Explanation:
Let the no. of 45 cent stamps brought be x and the no. of 65 cent stamps brought be y.
Equation 1 :
Equation 2 :
On solving the two equations, you get
Feb 12, 2018
Explanation:
let x be the number of 45 cent stamps
and y be the number of 65 cent stamps
x+y=50→(1)
0.45x+0.65y=24.5→(2)
to eliminate x multiply (1) by 0.45
(1)→0.45x+0.45y=22.5→(3)
subtract term by term to eliminate x
(2)−(3)
(0.45x−0.45x)+(0.65y−0.45y)=(24.5−22.5)
⇒0.2y=2⇒y=10
substitute y=10 in (1)
(1)→x+10=50⇒x=40
As a check
(2)→(0.45×40)+(0.65×10)=24.5 correct