Question

I needed help solving this

Answer 1

D

Explanation:

Let m = motorcycles and c = cars

m + c = 48 2m + 4c = 140

m + c = 48 Multiple this equation through by -2

-2m -2c = -96 Add this to the second equation above

2m +4c = 140

2c = 44 Divide both sides by 2

c = 22. There are 22 cars. Plug this back into the top equation to find the number of motorcycles.

m + c = 48

m + 22 = 48 Subtract 22 from both sides

m = 26

Answer 2

Answer C: m = 26, f = 22

there is a typo in answer D.

Explanation:

There are 48 vehicles, so m + f = 48.

They have 140 wheels, so 2m+4f = 140.

You can rewrite the first as m = 48-f and then plug it into the second:

2(48-f) + 4f = 140 =>

96 - 2f + 4f = 140 =>

2f = 140 - 96 =>

2f = 44

f = 22

m = 48 - 22 = 26