Q:

Lenox ironed 1/4 of the shirts over the weekend. She plans to split the remainder of the work equally over the next 5 evenings.a. What fraction of the shirts will Lenox iron each day after school?b. If Lenox has 40 shirts, how many shirts will she need to iron on Thursday and Friday?

Accepted Solution

A:
Answer:a) Lenox will iron [tex]\frac{3}{20}[/tex] of the shirts each day after school.b) If Lenox has 40 shirts, he will iron 12 shirts on Thursday and Friday.Step-by-step explanation:a) Lenox has ironed [tex]\frac{1}{4}[/tex] of the shirts over the weekend, so it means [tex]\frac{3}{4}[/tex] will be split during the week (will be divided by 5):Fraction of the shirts that will be ironed over the week: [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]Fraction of the shirts that will be ironed each day: [tex]\frac{3}{4}*\frac{1}{5}=\frac{3}{20}[/tex]b) If Lenox has 40 shirts, it means that one-fourth is ironed over the weekend:[tex]40shirts*\frac{1}{4}=10 shirts[/tex]The rest of shirts is split in 5 days:[tex]30shirts*\frac{1}{5}=6 shirts[/tex]To sum up, if we multiply the calculated fraction in the previous question we can obtain the amount of shirts ironed each day:[tex]40shirts*\frac{3}{20}=6 shirts[/tex]As Thursday and Friday are two days, we have to multiply by 2 the previous result.In conclusion, Lenox will iron 12 shirts on Thursday and Friday.