Question

Jack did 3/5 of all problems on his weekend homework before Sunday. On Sunday he solved 1/3 of what was left and the last 4 problems. How many problems were assigned for the weekend?

Answer 1

`\text{Problems assigned for weekend are}(11)/(15)x+4`

Explanation:

Given that Jack did 3/5 of all problems on his weekend homework before Sunday. On Sunday he solved 1/3 of what was left and the last 4 problems. We have to find the number of problems assigned for weekend.

Let the total problems be x

`\text{Problems solved by Jack before Sunday}=(3)/(5)x`

`\text{Problems solved by Jack on Sunday}=(1)/(3)(x-(3)/(5)x)+4=(1)/(3)* (2)/(5)x+4=(2)/(15)x+4`

∴ Problems assigned for weekend are

`(3)/(5)x+(2)/(15)x+4`

⇒
`(11)/(15)x+4`