This is the 2nd question: In a group of 18 people, 7 like meat in their spaghetti sauce, 8 like mushrooms in their sauce and 3 like both. How many like neither? The teacher said the correct answer is p=15. This is for my 10 yr old son. I don't get it. Thanks!
2007-04-25 18:20:46 · 3 answers · asked by Torre 1 in Science & Mathematics ➔ Mathematics
The 3 that like both meat and mushrooms can be considered their own class of elements.
Since 3 like both meat and mushrooms, 7 - 3 = 4 like only meat and 8 - 3 = 5 like only mushrooms.
So, the number of people counted here is 3 + 4 + 5 = 12.
Therefore, 18 - 12 = 6 people are not being counted.
So, the number of people that like neither meat nor mushrooms in there sauce is 6.
2007-04-25 18:27:30 · answer #1 · answered by polymac98 2 · 0⤊ 0⤋
the teacher may mess up with the question-- how many do not like both ?
6 people do not like neither, 4 people like meat only and 5 like mushrooms only.
6+4+5 = 15
or 18 -3 = 15
15 people do not like both
2007-04-26 01:44:54 · answer #2 · answered by modern wushu 2 · 0⤊ 0⤋
3 like meat and mushrooms
(7-3) = 4 like meat but no mushrooms
(8-3) = 5 like mushrooms but no meat
So 18 - 3 - 4 - 5 = 6 people like neither.
The teacher is obviously incorrect - if 7 people like meat, there are only 11 who don't like it, some of whom will probably like mushrooms. So 15 cannot be right. Instead, 15 is the number of people who dislike either ingredient.
"liking neither" means "does not like meat" AND "does not like mushrooms"
"disliking either" means "does not like meat" OR "does not like mushrooms"
The teacher was getting these two mixed up.
2007-04-26 01:27:44 · answer #3 · answered by Scarlet Manuka 7 · 0⤊ 0⤋