Question

Dominic has math and reading homework tonight. Dominic can solve each math problem in 5 minutes and he can read each page in 3 minutes. The number of pages Dominic read is twice the number of math problems he solved. and it took him 88 minutes to complete all of his homework. Determine the number of math problems Dominic solved and the number of pages he read.

Answer 1

Answer:

Number of problems solved by Dominic is 8.

Number of pages read by Dominic  is 16.

Step-by-step explanation:

Let us assume the number of problems solved by Dominic = x

So, the number of pages read by Dominic = 2 times x = 2 x

So, time taken to solve x problems = x ( Time taken to solve 1 problem)

                                                           = x ( 5 minutes) = 5x

and, time taken to read y  pages = y ( Time taken to read 1 page)

                                                           = 2x ( 3 minutes ) = 6 x

So, total time taken to solve x problems and read (2x) pages =  5x + 6x

⇒ 5 x + 6 x  = 88

or, 11  x  = 88

⇒  x = 88/11 = 8

or , x  = 8

Hence, the number of problems solved by Dominic = 8

and number of pages read by Dominic = 2(x) = 2 x 8 =16