Question 1206851
<pre>
https://brainly.com/question/50102906?answeringSource=feedPublic%2FhomePage%2F9


Help please I don't understand
Ali and Samuel both had the same amount of money after Samuel gave $15 to Ali.
The ratio of Ali's money to Samuel's was 7:5. How much did each of them have at the beginning?

There obviously is some confusion here which is understandable. This is because  it should read: 
Help please I don't understand
Ali and Samuel both had the same amount of money. After Samuel gave $15 to Ali, the ratio of Ali's
money to Samuel's was 7:5. How much did each of them have at the beginning?

Let the original amount each had, be A
After giving $15 to Ali, Samuel had A - 15 remaining
After receiving $15 from Samuel, Ali had A + 15 
Since the ratio of Ali's money to Samuel's money - after the transfer - was 7:5, we get the
following PROPORTION, {{{matrix(1,3, (A + 15)/(A - 15), "=", 7/5)}}}
                    5(A + 15) = 7(A - 15) ----- Cross-multiplying
                      5A + 75 = 7A - 105
                      5A - 7A = - 105 - 75
                         - 2A = - 180
Amount each began with, or {{{highlight_green(matrix(1,5, A, "=", (- 180)/(- 2), "=", highlight("$90")))}}}</pre>