+0  
 
0
164
3
avatar+606 

 

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
avatar
+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
avatar+17332 
+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
avatar+606 
+1

Ok, thank you.

 Nov 9, 2018
edited by hoiuu  Nov 9, 2018

22 Online Users

avatar
avatar
avatar
avatar