+0

# check my work?

0
270
3

The Soccer Club is selling T-shirts and washing cars to raise money for a summer trip. Last week, the club raised \$292.50 by selling 15 T-shirts and washing 12 cars. This week, it raised \$747.50 by selling 45 T-shirts and washing 10 cars.

a) Write two equations showing the money the club raised each week, where x is the amount earned per T-shirt sold and y is the amount earned per car washed.

b)How much does the Soccer Club charge for a T-shirt? Show your work.

c)How much does the Soccer Club charge for a car wash? Show your work.

For a i got

15x+12y=292.50,

45x+10y=747.50

B i got 19.5

for c i got 5

Nov 9, 2018

#1
+2

Solve the following system:
{15 x + 12 y = 292.5 | (equation 1)
45 x + 10 y = 747.5 | (equation 2)

Swap equation 1 with equation 2:
{45 x + 10 y = 747.5 | (equation 1)
15 x + 12 y = 292.5 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{45 x + 10 y = 747.5 | (equation 1)
0 x+(26 y)/3 = 43.3333 | (equation 2)

Multiply equation 2 by 3/26:
{45 x + 10 y = 747.5 | (equation 1)
0 x+y = 5. | (equation 2)

Subtract 10 × (equation 2) from equation 1:
{45 x+0 y = 697.5 | (equation 1)
0 x+y = 5. | (equation 2)

Divide equation 1 by 45:
{x+0 y = 15.5 | (equation 1)
0 x+y = 5. | (equation 2)

x = 15.5
y = 5.

Nov 9, 2018
#2
+3

Multiply your first equation by -3 to get

-45x-36y = -877.50     the add it to the second equation to get

-26y=-130       solve for y =\$ 5

Sub y= 5 in to either equation

15x +12(5) = 292.5

15x=  232.5

x= \$15.5

Nov 9, 2018
#3
+1

Ok, thank you.

Nov 9, 2018
edited by hoiuu  Nov 9, 2018