+687
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 $747.50 by selling 45 T-shirts and washing 10 cars.
a) Write two equations showing the money the club raised each week, where x is the amount earned per T-shirt sold and y is the amount earned per car washed.
b)How much does the Soccer Club charge for a T-shirt? Show your work.
c)How much does the Soccer Club charge for a car wash? Show your work.
For a i got
15x+12y=292.50,
45x+10y=747.50
B i got 19.5
for c i got 5
Solve the following system:
{15 x + 12 y = 292.5 | (equation 1)
45 x + 10 y = 747.5 | (equation 2)
Swap equation 1 with equation 2:
{45 x + 10 y = 747.5 | (equation 1)
15 x + 12 y = 292.5 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{45 x + 10 y = 747.5 | (equation 1)
0 x+(26 y)/3 = 43.3333 | (equation 2)
Multiply equation 2 by 3/26:
{45 x + 10 y = 747.5 | (equation 1)
0 x+y = 5. | (equation 2)
Subtract 10 × (equation 2) from equation 1:
{45 x+0 y = 697.5 | (equation 1)
0 x+y = 5. | (equation 2)
Divide equation 1 by 45:
{x+0 y = 15.5 | (equation 1)
0 x+y = 5. | (equation 2)
x = 15.5
y = 5.
+37146 Multiply your first equation by -3 to get
-45x-36y = -877.50 the add it to the second equation to get
-26y=-130 solve for y =$ 5
Sub y= 5 in to either equation
15x +12(5) = 292.5
15x= 232.5
x= $15.5
