Question

A store has a total of 15 bicycles and tricycles. There are 37 wheels. How many tricycles does the store have?

Answer 1

Let the number of bicycles be b and the number of tricycles be t. Then we can write the equation:
b + t = 15 ................(1)
We can also write another equation based on the number of wheels:
2b + 3t = 37 ............(2)

Equations (1) and (2) are a pair of simultaneous equations that can be solved to find the value of t, which is the number of tricycles. Can you solve for t?

Answer 2

Equation (1) can be rearranged to give b in terms of t as follows:
b + t = 15 ................(1)
Subtracting t from both sides of (1) gives:
b = 15 - t .................(3)
If we plug (15 - t) into equation (2) instead of b we get:
2(15 - t) + 3t = 37
which can be expanded to give:
30 -2t +3t = 37 ..........(4)
Now you can solve equation (4) to find the value of t.