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

Answer:

$\text{Problems assigned for weekend are}\frac{11}{15}x+4$

Step-by-step 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

$\text{Problems solved by Jack before Sunday}=\frac{3}{5}x$

$\text{Problems solved by Jack on Sunday}=\frac{1}{3}(x-\frac{3}{5}x)+4=\frac{1}{3}\times \frac{2}{5}x+4=\frac{2}{15}x+4$

∴ Problems assigned for weekend are

$\frac{3}{5}x+\frac{2}{15}x+4$

⇒ $\frac{11}{15}x+4$