Question

Ayden has math and reading homework tonight. Ayden can solve each math problem in 3 minutes and he can read each page in 1 minute. The number of pages Ayden read is twice the number of math problems he solved. and it took him 50 minutes to complete all of his homework. Determine the number of math problems Ayden solved and the number of pages he read.

Answer 1

Ayden Solved 10 math problem and read 20 pages.

Explanation:

Let the number of Math Problem solved be x.

Also Let the Number of Pages he read be y.

Given:

The number of pages Ayden read is twice the number of math problems he solved.

Hence equation can be framed as;

`y=2x`

Also Given:

Ayden can solve each math problem in 3 minutes and he can read each page in 1 minute and it took him 50 minutes to complete all of his homework.

Hence the equation can be framed as;

`3x+y=50`

Now Substituting the value of y in above equation we get;

`3x+y=50\\3x+2x=50\\5x=50\\x=(50)/(5)=10`

Now Substituting the value of y to find the value of x we get;

`x=2y = 2* 10=20`

Hence Ayden Solved 10 math problem and read 20 pages.