how do you solve this?

Question

cycle paths inc makes bicycles, tricycles and uni cycles. 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? i dont get this? how do you solve this?

Answer 1

So we are going to assume that b=bikes, t=trikes, u=unicycles and we will be solving for u.

 

1. 88 more bikes than unis as an equation will be b=u+88

 

2. 5 times as many trikes as unis  t=5u

 

3. 40 more bikes than trikes  b=t+40

 

So now that we know that Bikes=u+88 and Trikes=5u , we can plug this into the final equation that in order to solve for u.

 

When you plug the first two equations into the last equation it becomes: u+88=5u+40

Bring the u over to the right side of the equations and bring the 40 over to the left side of the equation and you get:

48=4u

4u=48

Then you will divide each side by 4 so you get: u=12