Solve Mixture Problems with Proportions Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
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)
minutes
give the right answer
To solve this problem, we can set up a proportion:
(10 pages / 15 problems) = (30 pages / 45 problems)
To find the amount of time it will take her to do her homework, we need to solve for the missing quantity (time).
Let x represent the amount of time it will take her to complete her homework in minutes.
Therefore, we have:
(10 pages / 15 problems) = (30 pages / 45 problems) = (x minutes / her homework)
We can cross-multiply and solve for x:
10 * 45 = 15 * 30 * x
450 = 450x
Dividing both sides by 450:
x = 1
Therefore, it will take Karen 1 minute to complete her homework.