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. How many paintings will Sergio have in his art collection after his donation? Write your answer as an expression.

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Find what percent one number is of another: word problems

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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. How many paintings will Sergio have in his art collection after his donation? Write your answer as an expression.

Calculate Number of Paintings: Determine the number of paintings each collector will donate. 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 to find out how many paintings each collector will donate. Calculation: $48$ paintings $\div$ $12$ collectors = $4$ paintings per collector
Calculate Sergio's Paintings: Calculate the number of paintings Sergio will have after his donation. $\newline$ Sergio has $p$ paintings initially. He donates $4$ paintings to the museum. Therefore, the expression to represent the number of paintings Sergio will have after his donation is $p - 4$ .
Write Expression for Sergio: There is no actual calculation to be done in this step since we are asked to write the answer as an expression. The expression is $p - 4$ , which represents Sergio's collection after the donation.