SOLUTION: solve. Cycle paths Inc. makes bicycles, tricycles, and unicycles. Last week they made 120 more bicycles than unicycles, and 4 times as many tricycles as unicycles. If they made

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Question 364866: solve.
Cycle paths Inc. makes bicycles, tricycles, and 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 unicycles did they make?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

B-number of bicycles
T-number of tricycles
Unumber of unicycles
.
.
1.B=120%2BU
2.T=4%2AU
3.B=75%2BT
From eq. 2 and eq. 3,
B=75%2B4U
Equate that with eq. 1 to solve for U.
75%2B4U=120%2BU
3U=45
highlight%28U=15%29
Then from eq. 1,
B=120%2B15
highlight%28B=135%29
Then from eq. 2,
T=4%2815%29
highlight%28T=60%29