Question

Match the following equation to the correct situation.

15%(p) + p = 1.15p
A.
The amount that Cindy paid for books was 15% of p.

B.
The amount given to a charity after saving 15% of p.

C.
The amount that Sandy paid for a shirt with 15% tax on p.

Answer 1

The equation given in the question matches the situation C.

Explanation:

A. The amount that Cindy paid for books was 15% of p i.e. it is only
`(15p)/(100) = 0.15p`

B. The amount is given to a charity after saving 15% of p. That means if p is the amount of charity, then there were a savings of 15% of p.

Therefore, the total charity payment after savings = p - 15% of p =
`p - (15p)/(100) = p - 0.15p = 0.85p`

C. The amount that Sandy paid for a shirt with 15% tax on p.

Therefore, if the price of a shirt is p, then total payment of Sandy after tax is = p + 15% of p =
`(p + (15p)/(100)) = p + 0.15p = 1.15p`

Hence, the equation given in the question matches the situation C. (Answer)