Posted by **alicia** on Monday, September 28, 2009 at 10:09pm.

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 -
**MathMate**, Tuesday, September 29, 2009 at 7:32am
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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