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?

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hyuanzeng43859p0gk9l hyuanzeng43859p0gk9l

11-02-2018
Mathematics

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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

PLZ ANSWER THIS QUESTION ASAP THIS IS DUE TOMORROW

THX

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Dibny Dibny · Answer 1 · 2018-02-16T18:59:21+01:00

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:

[tex]2:3=x:75[/tex]
[tex]3x=150[/tex]
[tex]x=50[/tex]

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.