- #1

NotaMathPerson

- 83

- 0

X, Y, and Z donated a sum of \$525 to a charity. For every dollar that X gives, Y gives 25 cents, and Z 50 cents. How much did each donate?

My solution

Let $x=$ amount donated by X

$25x=$ amount donated by y

$50x=$ amount donated by z

$x+\frac{50x}{100}+\frac{25x}{100}=525$

Solving for $x$ I get $x=$ \$300

Therefore $x=\$300$

$y=\$75$

$z=\$150$

Second method(thiss is where I am having trouble)

Let $x=$ amount donated by X

$25x=$ amount donated by y

$50x=$ amount donated by z

I convert everything into cents

$100x+50\cdot x\cdot100+25x\cdot100=52500$

Solving for x I get a different answer.

My thought process was the variable $x$ is in dollars hence I multiplied every term and both sides of the equation by 100 to convert it to cents.

Please tell me where I was wrong. Thanks!