Answer:
[tex]\text{Problems assigned for weekend are}\frac{11}{15}x+4[/tex]
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
[tex]\text{Problems solved by Jack before Sunday}=\frac{3}{5}x[/tex]
[tex]\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[/tex]
∴ Problems assigned for weekend are
[tex]\frac{3}{5}x+\frac{2}{15}x+4[/tex]
⇒ [tex]\frac{11}{15}x+4[/tex]
