Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
-Melita Zuba made a $600,000 cash contribution to two charities, the American Brain Tumor Association and the National Brain Tumor Foundation. The amount received by the National Brain Tumor Foundation was 20%
Greater than the amount received by the American Brain Tumor Association. How much did the American
Brain Tumor Association receive?
A) $327,272.73
B) $600,000
C) $272,727.27
D) $500,000.00

Question

Quizplus · Accepted Answer

Let x be the amount received by the American Brain Tumor Association.
Then, the amount received by the National Brain Tumor Foundation is x + 0.20x = 1.2x.

The sum of these two amounts is $600,000, so:

x + 1.2x = $600,000
2.2x = $600,000
x = $272,727.27

Therefore, the American Brain Tumor Association received $272,727.27, which is option C). Let x be the amount received by the American Brain Tumor Association.

Then, the amount received by the National Brain Tumor Foundation is:

x + 0.2x = 1.2x

The total amount contributed is $600,000, so:

x + 1.2x = $600,000

Simplifying:

2.2x = $600,000

x = $272,727.27

Therefore, the American Brain Tumor Association received $272,727.27.

Set Up an Equation That Can Be Used to Solve