High School

Rowan takes a math course and a science course for summer school. For every three hours Rowan spends studying math, they spend two hours studying science. If Rowan spent a total of 25 hours studying last week, how many hours did they study math?

Answer :

In the given problem, it is given that Troom spends three hours studying math for every two hours Rowan spends studying science. Troom spent 15 hours studying math.So, Troom spent 15 hours studying math.

Also, they both spend a total of 25 hours studying last week. We need to find how long Troom spent studying math.Therefore, let's assume that Troom spent x hours studying math. Hence, he spent (x/3) * 2 hours studying science.

Now, we can write an equation for the total number of hours spent studying, which is given as [tex]25.x + (x/3) * 2 = 25[/tex] Multiplying the above equation by 3, we get [tex]3x + 2x = 75⇒ 5x = 75⇒ x = 15[/tex]

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