algebra word problem?
A car dealership has 602 new cars on the lot. 151 cars are red, 382 have an automatic transmission, 101 have a sunroof, 12 are red and have an automatic transmission, 36 are red and have a sun roof, 43 have an automatic transmission and a sun roof, and 11 are red, have an automatic transmission, and have a sun roof.
A. How many cars are not red, do not have an automatic transmission, and do not have a sun roof?
B. How many cars are not red, do not have an automatic transmission, and have a sun roof?
C. How many cars are red, do not have an automatic transmission, and have a sun roof?
Thank you for your help.
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Verified answer
Draw a Venn diagram to visualize the problem
A: 48
B: 33
C: 172
Edit: If the other posters would've drawn one, they could've seen their answer was wrong.
Total is 602
A = 382
R = 151
S = 101
A int R = 12
A int S = 43
R int S = 36
A int R int S = 11
R only = 151 - (36+11+12) = 92
A only = 382 - (11+12+43) = 316
S only = 101 - (11+36+43) = 101
A.) 602 - (316-92-11-36-43-12-11) = 82
B.) 11
C.) 36