Answer:
The number of math problems Annabelle solved = 5 problems
The number of pages Annabelle read= 20 pages
Step-by-step explanation:
Given:
Time taken for Annabelle to solve one problem =3 minutes
Time taken for Annabelle to read one page =2 minutes
Total time taken by Annabelle to complete her homework= 55 minutes
To find:
Total Number of problems solved by Annabelle=?
Total Number of pages read by Annabelle=?
Solution:
Let the number of problem solved be x
Let the number of pages read be y
It is given that the number pages read is 4 times the number of problem solved
So number of pages read y= 4x
Now time taken to solve x problems = time taken to solve one problem X total number of problem
=>[tex]3\times x[/tex]
=>[tex]3x[/tex]
Similarly,
Time taken to read 4x pages= total number of pages read X time taken to read one problem
=>[tex](4x)\times 2[/tex]
=>[tex]2(4x)[/tex]
Now we know that
Time taken to solve x problems + Time taken to read 4x pages= 55 minutes
3x + (4x)2=55
3x+8x=55
11x=55
[tex]x=\frac{55}{11}[/tex]
x=5
So number of problem solved is x=5
Number of pages read y=4(x)=4(5)=20
