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Four colleagues each contributed p dollars toward the purchase of a sculpture. They then bought the sculpture for q dollars, an amount less than the total number of dollars contributed. If the excess amount is to be refunded to the four colleagues in equal amounts, each person should receive a refund of how many dollars?

Explanation	Calculations	Help
$We translate "Four colleagues each contributed p dollars" into a sum of p terms.$	$p + p + p + p = 4 p$	Theory & Tactics Method Card CALC1-A Click to view full details
$We calculate the "excess amount" by subtracting the sculpture cost from the total contribution.$	$4 p - q$
$We interpret "refunded to the four colleagues in equal amounts" as dividing the excess by 4.$	$\frac{4 p - q}{4}$	Theory & Tactics Method Card FDPR0-E Click to view full details

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A

Four colleagues each contributed p dollars toward the purchase of a sculpture. They then bought the sculpture for q dollars, an amount less than the total number of dollars contributed. If the excess amount is to be refunded to the four colleagues in equal amounts, each person should receive a refund of how many dollars?

Explanation	Calculations	Help
$We translate "Four colleagues each contributed p dollars" into a sum of p terms.$	$p + p + p + p = 4 p$	Theory & Tactics Method Card CALC1-A Click to view full details
$We calculate the "excess amount" by subtracting the sculpture cost from the total contribution.$	$4 p - q$
$We interpret "refunded to the four colleagues in equal amounts" as dividing the excess by 4.$	$\frac{4 p - q}{4}$	Theory & Tactics Method Card FDPR0-E Click to view full details

Scroll horizontally to view all columns

A