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=50to(1)#
#0.45x+0.65y=24.5to(2)#
#"to eliminate x multiply "(1)" by 0.45"#
#(1)to0.45x+0.45y=22.5to(3)#
#"subtract term by term to eliminate x"#
#(2)-(3)#
#(0.45x-0.45x)+(0.65y-0.45y)=(24.5-22.5)#
#rArr0.2y=2rArry=10#
#"substitute "y=10" in "(1)#
#(1)tox+10=50rArrx=40#
#color(blue)"As a check"#
#(2)to(0.45xx40)+(0.65xx10)=24.5 " correct"#