Question

Jerome takes a math course and a science course for summer school. For every 5 hours Jerome spends studying math, he studies science for 4 hours. If Jerome spent a total of 63 hours studying last week, then how long did he study math?​

Answer 1

Answer: 35 hours

Explanation:

If Jerome spends 4 hours studying science for every 5 hours studying math, that means he studied 9 hours total (4 + 5 = 9) for every 5 hours of math.

4 hours + 5 hours = 9 hours

Using this information, we can divide 63 by 9 to find how many times he studied math in the 63-hour period.

63 hours / 9 hours = 7 times

Lastly, we can multiply 7 times by 5 hours to find the total number of hours.

7 times * 5 hours = 35 hours

We can check our work by setting up a proportion.

`\displaystyle \frac{\text{5 hours of math}}{\text{9 total hours}} =\frac{\text{35 hours of math}}{\text{63 total hours}}`

`\displaystyle 0.55556 = 0.55556` ✓