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Jane has 'p' paintings in her art collection. She and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings. How many paintings will Jane have in her art collection after the donation? Write your answer as an expression.

A) \( p - \frac{48}{12} \)
B) \( p + \frac{48}{12} \)
C) \( p + 48 \)
D) \( p - 48 \)

Answer :

Final answer:

Jane initially possesses 'p' paintings. The collectors agreed to donate 48 paintings together equally, hence Jane will donate 48/12 or 4 paintings. After the donation, Jane's collection will have 'p - 4' paintings, which is exactly represented by Option A.

Explanation:

To find out how many paintings Jane will have in her art collection after the donation, we need to divide the total number of paintings donated by the number of collectors. Since there are 12 collectors and they are donating a total of 48 paintings, each collector will donate 48/12 = 4 paintings. Therefore, Jane will have p - 4 paintings remaining in her art collection after the donation.

In this mathematical problem, Jane initially has a 'p' number of paintings. There are 12 collectors in total, who collectively agreed to donate 48 paintings equally. Therefore each collector, including Jane, is going to donate 48/12 paintings, which gives 4 paintings each. So, after the donation, the number of paintings Jane will have in her collection will be the initial number of paintings she had, subtracted by the number of paintings she donated. Thus, this is expressed effectively as p - (48/12).

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