SOLUTION: A preschool playground has both bikes and trycicles. There is a total of 30 seats and 70 wheels how May bikes are there?

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Question 877614: A preschool playground has both bikes and trycicles. There is a total of 30 seats and 70 wheels how May bikes are there?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There is 1 seat per bike/tricycle so b+t = 30 ----> t = 30 - b

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You have 70 wheels, which means

2b + 3t = 70

2b + 3(30 - b) = 70 ... plug in t = 30 - b

2b + 90 - 3b = 70

-b + 90 = 70

-b = 70 - 90

-b = -20

b = 20

There are 20 bikes.

To find the number of tricycles, plug b = 20 into t = 30 - b