Question

There are a total of 15 bicycles and tricycles.There are 37 wheels all together if we count them up. How many tricycles and how many bicycles are there?

Answer 1

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

30 - 2y + 3y = 37

- 2y + 3y = 37 - 30

y = 7

x = 15 - y = 15 - 7

x = 8