Question

The Wheel Shop sells other kinds of vehicles. There are bicycles and go-carts in a different room of the shop. Each bicycle has only one seat and each go-cart has only one seat. There are a total of 21 seats and 54 wheels in that room. How many are bicycles and how many are go-carts? Explain how you figured it out.

Answer 1

There are 15 bikes HEHEVEHFRR

Answer 2

15 bikes, 6 gocarts

Explanation:

so both the vehicles have 1 seat each

the bicycles will be represented by B

the gocarts will be represented by G

because there are only 1 seat per for a total of 21 seats, we have this as the first equation:

B + G = 21

Gocarts have wheels and bikes have 2 seats, so we have this equation:

2B + 4G = 54

from there we can simply replace b with g to find the amount of gocarts first:

B + G = 21

B = 21 - G

2(21-G) + 4G = 54

42 - 2G + 4G = 54

2G + 42 = 54

2G = 12

G = 6

So there are 6 gocarts.

plug in 6 for g

B + 6 = 21

B = 15

therefore, there are 15 bikes and 6 gocarts