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?

Question

Mathematics

Ashlyn Shea

26 June, 15:47

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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Answers (1)

Know the Answer?

Paige Terrell · Answer 1

Let

x = Stanley's colored markers

y=Jiayi's markers

We have the following system:

Initial relationship:

4/1=x/y

Stanley let her borrow 50 markers:

2/3 = (x-50) / (75)

x-50 = (2/3) * 75

x = (2/3) * 75 + 50 = 100

Answer:

Stanley start with 100 markers