Families were asked what type of vehicles they own. 39 own cars, 21 own truckes, 23 own vans, 12 own cars and trucks,14 own cars and vans, 5 own vans and trucks, and 2 own all three types. How many families were surveyed?
2006-06-26 10:30:23 · 10 answers · asked by Anonymous in Education & Reference ➔ Homework Help
it has these for multiple choice...
110
50
77
48
2006-06-26 10:36:47 · update #1
i dunno good luck
2006-06-26 10:33:47 · answer #1 · answered by preacher t 2 · 0⤊ 1⤋
The trick is to watch the wording. It does not say that 39 ONLY own cars, 21 ONLY own trucks, etc. So take each group and subtract the subgroups that own more than one vehicle:
39 cars - (12-2) - (14-2) - 0 - 2 = 15
21 trucks - (12-2) - 0 - (5-2) - 2 = 6
23 vans - 0 - (14-2) - (5-2) - 2 = 6
5 tracks&vans - 2 = 3
14 cars&vans - 2 = 12
12 cars&trucks - 2 = 10
Total = 15+6+6+3+12+10+2 = 54 families
I really hate when they use semantics in math problems. I tried the visualization method and the algebra method, and still came up with this answer. Well you can try to play it safe and go with 48. I was such a stubborn kid I always argued with the teacher until I understand where someone went wrong.
2006-06-26 10:51:34 · answer #2 · answered by AldericII 2 · 1⤊ 0⤋
48 families were surveyed
12 cars and trucks, so the 12 with trucks duplicate 12 with cars. trucks minus 12
14 cars and vans. vans - 14
5 vans and trucks. trucks - 5 more
2 own all three, trucks - 2 more and vans minus 2 more
add all that's left over and you get 48
2006-06-26 10:50:56 · answer #3 · answered by raver82 7 · 1⤊ 0⤋
I added all three
39+21+23 = 83
Subtracted the doubles once
-12-14-5 = -31
Subtracted the triples twice
-2-2 = -4
Total 48
2006-06-26 10:37:53 · answer #4 · answered by mricks70 1 · 1⤊ 0⤋
An easy and visual way to solve this problem would be to draw three circles that intersect -- one representing cars, one representing trucks, and one representing vans. By working from the center (which represents those who own all three types) to those who own two types to those who own just one type (don't forget to subtract!), you'll be able to add up how many families were surveyed.
Good luck!
By the way, the answer is 48. ;)
2006-06-26 10:36:36 · answer #5 · answered by Anonymous · 1⤊ 0⤋
The answer is 83. Add the numbers of families that have 1 of each vehicle. I can explain it, but that is your answer.
2006-06-26 10:34:39 · answer #6 · answered by eliasulmonte 3 · 0⤊ 0⤋
20?
2006-06-26 10:37:38 · answer #7 · answered by losersrus 3 · 0⤊ 0⤋
48 use algebra
2006-06-26 10:40:11 · answer #8 · answered by Anonymous · 1⤊ 0⤋
83?
2006-06-26 10:33:22 · answer #9 · answered by got_deam_munalla 3 · 0⤊ 0⤋
try addition
2006-06-26 10:33:05 · answer #10 · answered by grateful6979 4 · 0⤊ 0⤋