Question

You raise $420 during a fundraising event. The amount of money that you raise is 120% of your goal. How much more did you raise than your goal?

Answer 1

The original fundraising goal was $350, and since $420 was raised, which is 120% of the goal, $70 more was raised than the goal.

Step-by-step explanation:

To find out how much more was raised than the goal during the fundraising event, start by understanding the percentage given. The $420 raised is 120% of the goal, which means the goal amount represents 100%. To calculate the original goal, you should divide the amount raised by the percentage raised (expressed as a decimal), so you divide 420 by 1.2 (since 120% as a decimal is 1.2).

Now, calculate the goal amount:
420 / 1.2 = $350

Therefore, the original goal was $350. Since the amount raised was $420, we subtract the goal from the amount raised to determine how much more was raised:
420 - 350 = $70.

Thus, the amount raised exceeded the goal by $70.

Answer 2

9514 1404 393

Answer:

$70

Step-by-step explanation:

The excess amount is 20% of the goal. The given amount is 120% of the goal, so the proportion of the given amount that is excess is ...

(20% of goal)/(120% of goal) = 1/6

Then the excess is (1/6)($420) = $70.

You raised $70 more than the $350 goal.