Question

(40pts) Mr. Green had 200 dollars and Mrs.Green had 180 dollars. After they each bought the same t-shirt, the ratio of the number of dollars that Mr. Green had remaining to number of dollars that Mrs. Green had remaining was 3:2. How much money was the t-shirt?

Answer 1

Answer:

The t-shirt cost $23.33.

Step-by-step explanation:

Answer 2

Answer:

$140

Step-by-step explanation:

If x was the amount of money Mr. Green had remaining, and y was the amount of money Mrs. Green had remaining, then:

x / y = 3 / 2

And, since they spent the same amount of money:

200 - x = 180 - y

We can solve this system of equations through substitution.

x = 3/2 y

200 - 3/2 y = 180 - y

20 = 1/2 y

y = 40

So Mrs. Green had $40 remaining.  Since she started with $180, she must have spent $140.  So that was the cost of the shirt.  Let's check our answer by seeing how much Mr. Green had remaining and how it compares.

$200 - $140 = $60

$60 / $40 = 3 / 2

Yep, it checks out.