Question

9. Six months later, there were no tricycles in the shop. There were onlybicycles and tandem bikes. There are a total of 68 seats and 120 wheels inthe shop. Let: B be the bicycles and N be the tandem bikes. How do youtranslate this into mathematical equations? *

Answer 1

Each bicycle has 2 wheels and 1 seat, and each tandem bike has 2 wheels and 2 seats. So, we can write this mathmatically by writing one equation for the amount of seats and one for the amount of wheels.

If each bicycle has 2 wheels and each tandem bike also have 2 wheels, then the total number of wheels, 120, will be:

`\begin{gathered} 2B+2N=120 \\ 2(B+N)=120 \\ B+N=60 \end{gathered}`

Smilarlly, if each bicycle has 1 seat and each tandem bike has 2 seats, then the total number of seats, 68, will be:

`\begin{gathered} 1B+2N=68 \\ B+2N=68 \end{gathered}`

So, in the end, we have a system of two equations:

`\begin{gathered} B+N=60 \\ B+2N=68 \end{gathered}`