Question

The Math Club raised money for its spring banquet by washing vehicles. The club charged $3 per car and $5 per truck. The club earned a total of $510 for washing 122 cars and trucks combined. How many cars did the club wash?

Answer 1

Answer:

3C + 5 T = 550

C+T= 122

PUT IN 1  T= 122-C

3C + 5 (122-C)=550

3C -5C + 610=550

-2C= 550 - 610= -30

C= 15

T= 122-15 = 107

Step-by-step explanation:

Answer 2

Answer:  50

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks .

By considering the given information, we get

$x+y=122-----------------(1)\\\\3x+5y=510-------------------(2)$

Multiply (1) by 3 , we get

$3x+3y=366--------------(3)$

Eliminate equation (3) from (2), we get

$2y=144\\\\\Rightarrow\ y=72$

Put y= 72 in equation (1), we get

$x+72=122\\\\\Rightarrow\ x=122-72=50$

Hence, the number of cars did the club = 50