8. Tina and Jim each work at a different car wash. Tina is paid $37 per day plus $1.50 for each car she washes. Jim is paid $40 per day plus $1.00 for each car he washes.

Write an expression that represents the amount Tina is paid each day given the number of cars (c) she washes.

37+1.50(c)= ?

Write an expression that represents the amount Jim is paid each day given the number of cars (c) he washes.

40+1.00(c)= ?

On Monday, Tina and Jim washed the same number of cars and earned the same amount of money. How many cars did they each wash on Monday?

can you help me with this part.

Are those expressions correct above?

Thank You

the expressions are correct. If c is the same for both, and the earnings are also the same, then we have

37+1.5c = 40 + 1.0c
.5c = 3
c = 6

check:
37+1.5(6) = 37+9 = 46
40+1(6) = 40+6 = 46

Now I understand....thank you so much!

Yes, the expressions you have written to represent the amount Tina and Jim are paid each day are correct.

To find out how many cars Tina and Jim washed on Monday, we need to set their earnings equal to each other and solve for the number of cars, denoted by 'c'.

37 + 1.50c = 40 + 1.00c

First, combine like terms:

0.50c = 3

Then, divide both sides of the equation by 0.50 to solve for 'c':

c = 6

So, Tina and Jim each washed 6 cars on Monday.

Yes, the expressions you provided to represent the amount Tina and Jim are paid each day based on the number of cars they wash are correct. Tina is paid $37 per day plus $1.50 for each car she washes, so the expression is 37 + 1.50(c). Jim is paid $40 per day plus $1.00 for each car he washes, so the expression is 40 + 1.00(c).

To figure out how many cars Tina and Jim washed on Monday, we need to equate the expressions that represent the amount of money they earned. Since they earned the same amount of money, we can set the two expressions equal to each other:

37 + 1.50(c) = 40 + 1.00(c)

Now, we can solve this equation to find the value of c, which represents the number of cars they each washed on Monday.

First, let's simplify the equation:

1.50(c) - 1.00(c) = 40 - 37

0.50(c) = 3

To isolate c, we divide both sides of the equation by 0.50:

c = 3 / 0.50

c = 6

So, Tina and Jim each washed 6 cars on Monday.