Question

A shop sells bicycles and tricycles. In total there are 7 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

>There are 5 tricycles and 2 bicycles

Solution:

Assign variables to the unknown quantities

Let b be the number of bicycles and let t be the number of tricycles.

Set up the equations

b+t=7…(1)

2b+3t=19…(2)

Rearrange equation (1) and substitute into equation (2)

t=7−b

∴2b+21−3b=19

−b= -2

∴b=2

Calculate the number of tricycles t

t=7−b

=7−2

=5

Write the final answer

>There are 5 tricycles and 2 bicycles