Sergio has $p$ paintings in his art collection. He 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. $\newline$ How many paintings will Sergio have in his art collection after his donation? $\newline$ Write your answer as an expression. $\newline$ paintings

Full solution

Q. Sergio has

p

paintings in his art collection. He 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.

\newline

How many paintings will Sergio have in his art collection after his donation?

\newline

Write your answer as an expression.

\newline

paintings

Calculate paintings per collector: First, we need to determine how many paintings each collector, including Sergio, will donate to the local museum. Since there are $12$ collectors and they are donating a total of $48$ paintings, we divide the total number of paintings by the number of collectors. $\newline$ $48$ paintings $\div$ $12$ collectors = $4$ paintings per collector
Express Sergio's remaining paintings: Now that we know each collector is donating $4$ paintings, we can express the number of paintings Sergio will have left after his donation as an expression. $\newline$ If Sergio originally has $p$ paintings, after donating $4$ , he will have $p - 4$ paintings. $\newline$ Sergio will have $p - 4$ paintings.