Question

jeffrey has $1.20 more than ryan. when ryan hands jeffrey $7.50, jeffrey's money becomes 7 times as much as Ryan's. How much money did they each have at the beginning?

Answer 1

Ryan had 10.20 dollars and Jeffery had 11.40 dollars.

Explanation:

Let Ryan have x dollars originally, then Jeffrey has x + 1.20 dollars.

From the given info:

After getting 7.50 from Ryan, Jeffrey has:

x + 1.2 + 7.5 dollars and Ryan has x - 7.50 dollars.

Jeffreys money is now is 7 times as much as Ryan's, so:

x + 8.7 = 7(x - 7.5)

x + 8.7 = 7x - 52.5

8.7 + 52.5 = 7x - x

6x = 61.2

x = 10.20 dollars.