Respuesta :
Answer:
Option E is correct.
12 pairs of socks and 15 pairs of shorts did team buy each year.
Step-by-step explanation:
Let the number of pairs of socks be x and the number pairs of shorts be y.
As per the statement:
Last year, the volleyball team paid $5 pair for socks and $17 per pair for shorts on a total purchase of $315.
⇒[tex]5x+17y = 315[/tex] .....[1]
It is also given that: This year they spent $342 to buy the same number of socks and shorts, because the socks now cost $6 a pair and the shorts cost $18.
⇒[tex]6x + 18y = 342[/tex] .....[2]
Multiply equation [1] by 6 both sides we get;
[tex]30x+102y = 1890[/tex] .......[3]
Multiply equation [2] by 5 both sides we get;
[tex]30x +90y = 1710[/tex] .....[4]
Subtract equation [4] from [3] we get;
[tex]12y =180[/tex]
Divide both sides by 168 we get;
y = 15
Substitute the given values of y =15 in [1] we get;
5x+17(15) = 315
5x + 255 = 315
Subtract 255 from both sides we get;
5x = 60
Divide both sides by 5 we get;
x = 12
Therefore, 12 pairs of socks and 15 pairs of shorts did team buy each year.
