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Meghan raised funds for the Cancer Society for seven straight days. She raised the following amounts:

$525, $350, $275, $630, $1,010, $275, and x.

What would the value of x equal if the average funds collected were $500?

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Question:

$525, $350, $275, $630, $1,010, $275, and x.

What would the value of x equal if the average funds collected were $500?

A
$435

explanation

To find the value of x that would make the average funds collected equal to $500, we need to calculate the total funds raised and then solve for x. The total funds raised is the sum of all the amounts collected:

Total funds raised = $525 + $350 + $275 + $630 + $1,010 + $275 + x

To find the average funds collected, we divide the total funds raised by the number of days (which is 7 in this case):

Average funds collected = (Total funds raised) / 7

We can set up an equation using the given average of $500:

$500 = (Total funds raised) / 7

Multiplying both sides of the equation by 7:

$500 * 7 = Total funds raised

$3,500 = $525 + $350 + $275 + $630 + $1,010 + $275 + x

Combining like terms:

$3,500 = $3,065 + x

To isolate x, we subtract $3,065 from both sides of the equation:

$3,500 - $3,065 = $3,065 + x - $3,065

$435 = x

Therefore, the value of x is $435.

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