# [Solved] Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50. After one month, Paul bought 15 passes and spent a total of $29.50. How much did he spend on the student discount card?

**Solution:** Let x be the total cost.

Let y be the cost for the discount card.

Let z be the number of daily bus passes.

According to the question

Total cost = Cost for the discount card + 1.50 Number of daily bus passes

⟹x = y + 1.50 z ────── **①**

It is given in the question that

Total cost = $29.50

Number of daily bus passes = 15

Substituting the above value in equation **①**, we get

29.50 = y + 1.50(15)

29.50 = y + 22.50

29.50 – 22.50 = y

y = $7

**Hence, Paul spends $7 on the student discount card.**

## Conclusion

**Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50. After one month, Paul bought 15 passes and spent a total of $29.50. He spends $7 on the student discount card.**