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 )
Karen can read 10 pages and complete 15 math problems in 30 minutes.
So, in 30 minutes, she can read 10 pages + complete 15 math problems.
To determine how many pages and math problems Karen can do in 1 minute, divide both sides of the equation by 30.
1 minute: (10 pages + 15 math problems) / 30 minutes = 0.83 pages + 0.5 math problems.
If Karen has 30 pages left to read, what's the time required in minutes?
Divide both sides of the equation by 0.83,
(rendering 1 minute) 30 pages / 0.83 pages = approximately 36 minutes (rounded to the nearest whole minute).
If Karen has 45 math problems left to solve, what's the time required in minutes?
Divide both sides of the equation by 0.5,
(rendering 1 minute) 45 math problems / 0.5 math problems = 90 minutes.
Thus, it will take Karen approximately 36 minutes to read 30 pages and 90 minutes to complete 45 math problems. In total, Karen will need 36 minutes + 90 minutes = <<36+90=126>>126 minutes to complete her homework. Answer: \boxed{126}.
This is incorrect
Apologies for the mistake. Let's correct the solution:
Karen can read 10 pages and complete 15 math problems in 30 minutes.
To find out how many pages Karen can read in 1 minute, divide 10 by 30: 10 pages / 30 minutes = 0.33 pages per minute.
To find out how many math problems Karen can complete in 1 minute, divide 15 by 30: 15 problems / 30 minutes = 0.5 problems per minute.
Now we can determine how long it will take Karen to do her homework.
If Karen has 30 pages left to read, the time required in minutes is: 30 pages / 0.33 pages per minute = 90 minutes.
If Karen has 45 math problems left to complete, the time required in minutes is: 45 problems / 0.5 problems per minute = 90 minutes.
Thus, it will take Karen approximately 90 minutes to read 30 pages and 90 minutes to complete 45 math problems.
In total, Karen will need 90 minutes + 90 minutes = <<90+90=180>>180 minutes to complete her homework. Answer: \boxed{180}.