Question

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Answer 1

Let the number of cars be C and the number of trucks be T.
C + T = 32
Cars have 4 wheels and trucks have 6 wheels.
4C + 6T = 148

Can you solve for C and T from here?

Answer 2

4C + 6T = 148
-4C -4C
___________________
6T = 148 - 4C

Answer 3

is that how I would continue?

Answer 4

I would isolate a variable in the equation C + T = 32 and then sub that back into the other equation

Answer 5

huuuuuh

Answer 6

Isolate a variable in C + T = 32. get it to where C = .... or T = ...
do you understand ?

Answer 7

Let me rephrase....get either t by itself or c by itself and everything else on the other side of the equal sign

Answer 8

Yeah, but how would you figure out C + T

Answer 9

ok.....what variable do you want to isolate ? You choose, C or T ?

Answer 10

hello ??

Answer 11

C?

Answer 12

C + T = 32 (subtract T from both sides to get C by itself)
C + T - T = 32 - T (combine like terms)
C = 32 - T
do you understand how I did that ?

Answer 13

yess

Answer 14

Now we will sub 32 - T in for C in the other equation...
4C + 6T = 148
4(32 - T) + 6T = 148
can you solve for T now or do you need more help ?

Answer 15

Yeah I think I'm gonna need for help

Answer 16

4(32 - T) + 6T = 148 -- distribute through the parenthesis
128 - 4T + 6T = 148 -- subtract 128 from both sides
-4T + 6T = 148 - 128 -- combine like terms
2T = 20 -- divide by 2 on each side
T = 10

now sub 10 in for T in the 1st equation
C + T = 32
C + 10 = 32
C = 32 - 10
C = 22

check..
4C + 6T = 148
4(22) + 6(10) = 148
88 + 60 = 148
148 = 148 (correct)

There were 22 cars and 10 trucks

any questions ?