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)
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To find out how long it will take Karen to do her homework, we can first determine the amount of time it takes for her to complete one page of reading and one math problem.
Karen can read 10 pages and complete 15 math problems in 30 minutes.
Therefore, the time it takes for her to complete one page of reading is 30 minutes divided by 10 pages, which is 3 minutes per page.
Similarly, the time it takes for her to complete one math problem is 30 minutes divided by 15 problems, which is 2 minutes per problem.
Now, we can calculate the total time it will take for Karen to complete her homework.
She has 30 pages to read, so it will take her 30 pages multiplied by 3 minutes per page, which is 90 minutes for the reading.
She also has 45 math problems to complete, so it will take her 45 problems multiplied by 2 minutes per problem, which is 90 minutes for the math problems.
Adding the time for reading and math together, the total time it will take Karen to do her homework is 90 minutes for reading + 90 minutes for math = 180 minutes.
Therefore, it will take Karen 180 minutes to do her homework.
If Karen can read 10 pages and complete 15 math problems in 30 minutes, then she can do 1 page in 30/10 = <<30/10=3>>3 minutes.
Similarly, she can do 1 math problem in 30/15 = <<30/15=2>>2 minutes.
Therefore, it will take her 3 × 30 = <<3*30=90>>90 minutes to read 30 pages.
Similarly, it will take her 2 × 45 = <<2*45=90>>90 minutes to complete 45 math problems.
Thus, it will take her 90 + 90 = <<90+90=180>>180 minutes to do her homework. Answer: \boxed{180}.
To find out how long it will take Karen to do her homework, we can calculate the time it takes her to complete one page of reading and one math problem. Then we can multiply those times by the total number of pages and math problems she has to do.
First, we need to find out how many pages Karen can read and how many math problems she can complete in one minute. We can set up a proportion to solve for this:
10 pages / 15 math problems = 30 minutes / x minutes
Cross-multiplying, we get:
10x = 15 * 30
Simplifying, we get:
10x = 450
Dividing both sides by 10:
x = 45
So Karen can read 1 page and complete 1 math problem in 45 minutes.
Now, to calculate the total time it will take Karen to do her homework, we can multiply the number of pages and math problems by the time it takes her to complete one page and one math problem:
30 pages * 45 minutes per page = 1350 minutes
45 math problems * 45 minutes per problem = 2025 minutes
Adding these two times together, we get:
1350 minutes + 2025 minutes = 3375 minutes
Therefore, it will take Karen 3375 minutes to do her homework.