Question

Cycle paths inc, makes bicycles,tricycles,and unicycles. last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. if they made 40 more bicycles than tricycles, how many unicycles did they make

Answer 1

Let's name variables:
x = bicycles
y = tricycles
z = unicycles
We write the following system of equations:
x = 88 + z
y = 5z
x = 40 + y
We solve the equation system for z:
1) x = 40 + y
2) y = 5z
3) x = 88 + z
Substituting x and y in equation 1:
88 + z = 40 + 5z
We cleared z:
4z = 88-40
z = 48/4
z = 12
Answer:
They did make 12 unicycles