Posted by **jenny** on Wednesday, April 10, 2013 at 11:46pm.

a cycle company make bicycles, tricycles an unicycles. Last week they made 120 more bicycles than unicycles, and 4 times as many tricycles as unicycles. If they made 75 more bicycles than tricycles, how many unicyles did they make?

I don't understand how to do this, please help

- math -
**Steve**, Thursday, April 11, 2013 at 5:18am
just put the words into symbols. If there are

u unicycles,

b bicycles, and

t tricycles,

b = u+120

t = 4u

b = t+75

Now you can just start substituting and watch the variables get resolved:

t=4u, so

b = u+120

b = 4u+75

so

u+120 = 4u+75

3u = 45

u=15

so, b=u+120=135

t=4u = 60

So, they made

15 unicycles

135 bicycles

60 tricycles

check that the numbers satisfy the original conditions. They do.

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