Word Problem Help

Question

Lisa’s bicycle shop assembled some tricycles and go carts. The total number of tricycles and go carts was 30 and Lisa used 103 wheels in all. How many go carts did Lisa make

Answer 1

Let T = tricycles built and g = go-carts built. Here's what we know:

TRIcycles mean 3 wheels used. Go-carts use 4 wheels

T + g = 30 (30 vehicles are built)

3T + 4g = 103 (there are a total of 103 wheels used)

 

Let's use the elimination method to solve this. Multiply the first equation by -3:

-3T - 3g = -90
3T + 4g = 103

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g = 13

 

So 13 go-cart are built.