Question
A charity group collected $6,750 worth of donations on Saturday, Sunday and Monday. They collected $1251 less on Saturday than on Sunday. The amount collected on Sunday was 4 times the amount collected on Monday. What was the amount on Sunday?
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Answer to a math question A charity group collected $6,750 worth of donations on Saturday, Sunday and Monday. They collected $1251 less on Saturday than on Sunday. The amount collected on Sunday was 4 times the amount collected on Monday. What was the amount on Sunday?
Ali
4.492 Answers
Let's start by assigning variables to the unknown amounts.
Let the amount collected on Sunday bex
Since the amount collected on Saturday was $1251 less than on Sunday, the amount collected on Saturday can be represented asx - 1251
We are also given that the amount collected on Sunday was 4 times the amount collected on Monday. So, the amount collected on Monday can be represented asx/4
Now we can write an equation based on the total amount collected:
(x - 1251) + x + x/4 = 6750
Let's simplify the equation and solve forx
\frac{9}{4}x-1251=6750
\frac{9}{4}x=6750+1251
\frac{9}{4}x=8001
To solve forx \frac{4}{5}
x=\frac{4}{9}\cdot8001
x=3556
Therefore, the amount collected on Sunday was $3556.
Let the amount collected on Sunday be
Since the amount collected on Saturday was $1251 less than on Sunday, the amount collected on Saturday can be represented as
We are also given that the amount collected on Sunday was 4 times the amount collected on Monday. So, the amount collected on Monday can be represented as
Now we can write an equation based on the total amount collected:
Let's simplify the equation and solve for
To solve for
Therefore, the amount collected on Sunday was $3556.
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