Question

The ratio of Stanley's colored markers to Jiayi's markers was 4:1. Jiayi had a big art project to work on, so Stanley let her borrow 50 markers. As a result, the ratio of Stanley's markers to Jiayi's changed to 2:3. If Jiayi ended up with 75 markers, how many markers did Stanley start with?
Plz tell me how u got the answer


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Answer 1

To know the answer to this we work our way backwards.

First we'll have a proportion since we know Jiayi ended up with 75 markers and the ratio of Stanley's markers to Jiayi's is now 2:3. We let the number of Stanley's markers at the end be denoted by x and solve the proportion:

$2:3=x:75$
$3x=150$
$x=50$

We know that Stanley had 50 markers by the end, and since he let Jiayi borrow 50 markers, then he should've had 100 markers at the start.

ANSWER: Stanley started with 100 markers.