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.(
Based on the given information, Karen can complete 1 page of reading in 30/10 = <<30/10=3>>3 minutes.
Therefore, she will take 30 x 3 = <<30*3=90>>90 minutes to complete the 30 pages reading.
Karen can complete 1 math problem in 30/15 = <<30/15=2>>2 minutes.
Therefore, she will take 45 x 2 = <<45*2=90>>90 minutes to complete the 45 math problems.
Hence, it will take Karen 90 + 90 = <<90+90=180>>180 minutes to complete her homework. Answer: \boxed{180}.
To figure out how long it will take Karen to do her homework, you can use proportions to find the time it takes for her to complete each page and math problem.
First, let's find the time it takes for Karen to complete one page of reading:
She can read 10 pages in 30 minutes. So, the time it takes for her to read one page can be calculated as 30 minutes divided by 10 pages:
30 minutes ÷ 10 pages = 3 minutes per page.
Next, let's find the time it takes for Karen to complete one math problem:
She can complete 15 math problems in 30 minutes. So, the time it takes for her to complete one math problem can be calculated as 30 minutes divided by 15 math problems:
30 minutes ÷ 15 math problems = 2 minutes per math problem.
Now, we can use these proportions to figure out the total time Karen will take to complete her homework.
She has 30 pages to read and she takes 3 minutes per page, so the time it will take for her to read the pages is:
30 pages x 3 minutes per page = 90 minutes for reading.
She also has 45 math problems to complete and she takes 2 minutes per math problem, so the time it will take for her to complete the math problems is:
45 math problems x 2 minutes per math problem = 90 minutes for math problems.
To find the total time for her homework, you need to add the time for reading and the time for math problems:
90 minutes for reading + 90 minutes for math problems = 180 minutes in total.
Therefore, it will take Karen 180 minutes to do her homework.
To find out how long it will take Karen to do her homework, we can calculate the time it takes her to do one page of reading and one math problem.
First, we need to calculate the time it takes for Karen to read one page. We divide the total time (30 minutes) by the number of pages she can read in that time (10 pages).
30 minutes / 10 pages = 3 minutes per page
Next, we need to calculate the time it takes for Karen to complete one math problem. We divide the total time (30 minutes) by the number of math problems she can complete in that time (15 problems).
30 minutes / 15 problems = 2 minutes per problem
Now, we can calculate the total time it will take Karen to do her homework.
Karen has 30 pages to read, so she will spend 30 pages * 3 minutes per page = 90 minutes on reading.
Karen has 45 math problems to complete, so she will spend 45 problems * 2 minutes per problem = 90 minutes on math.
Adding the time for reading and math together, it will take Karen 90 minutes + 90 minutes = 180 minutes to do her homework.