Aseamstress gets an order to make some skirts. if she takes it easy and makes 3 skirts a day she’ll finish on sunday. if she works really hard and makes 5 skirts a day, she’ll finish on friday. what day is it today? (need to show working out)

Tuesday

Step-by-step explanation:

Let the days of the week be numbered 1–7, starting with Monday and ending with Sunday. Let t represent today. We can equate the number of skirts finished by Friday (day 5) with the ones finished by Sunday (day 7) at the lower rate. (days × (skirts/day) = skirts)

... (5-t)×5 = (7-t)×3

... 25 -5t = 21 -3t . . . . . eliminate parentheses

... 4 = 2t . . . . . . . . . . . . add 5t-21

... 2 = t . . . . . . . . . . . . . divide by 2

Day 2 corresponds to Tuesday.

Check solution

(5-2)·5 = 15 = (7-2)·3 skirts are being made.

i hope this is what you were looking for.

see attached graph