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.
