Question

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.60. After one month, Paul bought 24 passes and spent a total of $42.80.How much did he spend on the student discount card?Paul spent $______ on the student discount card

Answer 1

The total amount Paul spent that month is the value of the discount card plus the value of the passes he bought.

He bought 24 passes each costing $1.6, therefore:

`\text{passes}=24\cdot1.6=\text{ \$}38.4`

The value of the passes added to the value of the card must be equal to the total spent.

`\begin{gathered} \text{total}=\text{card}+\text{passes} \\ 42.8=\text{card}+38.4 \\ \text{card}=42.8-38.4 \\ \text{card}=4.4 \end{gathered}`

Paul spent $ 4.4 on the student discount card.