Question

Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?

Answer 1

The fraction of the total number of green shirts that were sold on Tuesday and Wenesday is 7/60

Answer 2

Answer: T he required answers are
`(27)/(60)` and
`(7)/(60).`

Step-by-step explanation: Given that Diana works at a clothing store. She sold
`(1)/(5)` of the total number of green shirts on Monday,
`(3)/(12)` of the total number of green shirts on Tuesday and
`(2)/(15)` of the total number of green shirts on Wednesday.

We are to find

(a) the fraction of shirts that Diana sold on Monday and Tuesday,

(b) the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday.

We have

(a) The total fraction of shirts that Diana sold on Monday and Tuesday is given by

`F_(mt)=(1)/(5)+(3)/(12)=(12+15)/(60)=(27)/(60).`

(b) The difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday is given by

`F_(tw)=(3)/(12)-(2)/(15)=(15-8)/(60)=(7)/(12).`

Thus, the required answers are
`(27)/(60)` and
`(7)/(60).`