Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take her to do her homework if she has 30 pages to read and 45 math problems to complete? Your answer should refer to the amount of time in minutes.(1 point)

Question

minutes

Answer 1

If Karen can read 10 pages and complete 15 math problems in 30 minutes, then in 30 minutes she can read 10/30 = 1/3 of a page per minute.
In the same amount of time, she can complete 15/30 = 1/2 of a math problem per minute.

Since she has 30 pages to read, it will take her (30 * 3) = 90 minutes to read all the pages.
Since she has 45 math problems to complete, it will take her (45 * 2) = 90 minutes to complete all the math problems.

Therefore, it will take Karen 90 minutes to complete her homework.

Answer 2

Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-liter container of lemon-lime soda and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.(1 point)
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