# algebra

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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?

• algebra -

Let summarize the data
B=number of bicycles made last week
T=number of tricycles
U=number of unicycles

B=88+U ....(1)
5U=T .....(2)
B=T+40 ....(3)

Put (2) in (3) to eliminate T
B=5U+40 ....(4)

Equate (1) and (4) to eliminate B
5U+40 = 88 + U
4U = 48
U = 12

Substitute U in (2)
T = 5*12 = 60

and in (1)
B = 88 + 12 = 100

So Cycle Paths made 12 Unicycles, 60 tricycles and 100 bicycles.

Please check these numbers against the original question.

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