SOLUTION: 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 b

Algebra ->  Equations -> SOLUTION: 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 b      Log On


   



Question 159960: 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 that tricycles, how many unicycles did they make?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 that tricycles, how many unicycles did they make?
:
Write an equation for each statement:
"they made 88 more bicycles than unicycles,"
b = u + 88
:
"and 5 times as many tricycles as unicycles."
t = 5u
:
" If they made 40 more bicycles that tricycles,"
b = t + 40
;
how many unicycles did they make?
:
In the last equation, replace b with (u+88), and replace t with 5u
u + 88 = 5u + 40
88 - 40 = 5u - u
48 = 4u
u = 48%2F4
u = 12 unicyles
:
Check solution in the last equation;
b = 12 + 88 = 100
t = 5(12) = 60
:
100 = 60 + 40