Question

A tailor, when asked to stitch dresses for a school's annual program, says he would stitch 25 dresses a day and finish the work in 20 days. If the school requests him to finish and deliver the dresses 5 days earlier, at least how many extra dresses would he need to stitch every day?

a) 5
b) 10
c) 15
d) 20

Answer 1

To finish and deliver the dresses 5 days earlier, the tailor would need to stitch at least 34 extra dresses every day.

Step-by-step explanation:

To find the number of extra dresses the tailor needs to stitch every day, we first need to find the total number of dresses he needs to stitch in 15 days. Since he can stitch 25 dresses a day, he can stitch a total of 500 dresses in 20 days (25 dresses/day x 20 days = 500 dresses).

In order to finish and deliver the dresses 5 days earlier, the tailor would have 15 days to complete the task (20 days - 5 days = 15 days).

The tailor can stitch 500 dresses in 15 days, so the number of dresses he needs to stitch every day would be 500 dresses / 15 days = 33.33.

Since he cannot stitch a fraction of a dress, he would need to round up to the nearest whole number.

Therefore, the tailor would need to stitch at least 34 extra dresses every day.