Question

Please help on this question I can't seem to figure the answer out?

A company makes 140 bags, 37 of the bags have buttons but no zips, 38 of the bags have zips but no buttons. 38 of the bags have neither zips nor buttons, How many bags have zips on them? ​

Answer 1

0.5

Explanation:

Total bags (U) = 140

The number of bags with both button and zip:

(48 + 47 + x + 22) = 140

117 + x = 140

x = 140 - 117

x = 23

Therefore, the probability that the bag has a button:

Total Number of bags with button:

(Bags with button alone + bags with both button and zip)

(47 + 23) = 70

Probability = (required outcome / Total possible outcomes)

P (bag has a button) = (number of bags with button / total number of bags)

P (bag has button) = 70/140 = 0.5

P (bag has button) = 0.5

Hope this helps, have a nice day/night! :D

Answer 2

65 of the 140 bags have zips.

Step-by-step explanation:

You have 140 bags in total, and you want to know how many have zips. When you add the totals of all listed bags it comes out to 113 (37+38+38) however you need 140, so 140-113=27 bags that have both buttons and zips.

So you can either add up the bags with zips, or subtract the ones without from the total.

140(total) - 37(no zips) - 38(no zips) = 65(with zips)

38(with zips) + 27(with zips) = 65(with zips)