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

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

Explanation:

Answer 2

Answer: 50

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