In a recent survey of 100 women, the following information was gathered.
53 use shampoo A.
31 use shampoo B.
31 use shampoo C.
4 use shampoos A and B.
10 use shampoos A and C.
13 use shampoos B and C.
3 use all three.
Use the figure to answer the question in the problem.
How many are using shampoos A and C, but not B (Region IV)?
You'll find several answers in the Related Questions below.
To find the number of women using shampoos A and C, but not B (Region IV), we need to calculate the number of women who use both shampoos A and C and then subtract the number of women who use shampoos A, B, and C.
Let's break down the given information step by step:
- 53 women use shampoo A
- 31 women use shampoo B
- 31 women use shampoo C
- 4 women use shampoos A and B
- 10 women use shampoos A and C
- 13 women use shampoos B and C
- 3 women use all three shampoos (A, B, and C)
Now, let's calculate the number of women using shampoos A and C, but not B:
1. Add the number of women who use shampoos A and C: 10
2. Subtract the number of women who use all three shampoos (A, B, and C): 3
Therefore, the number of women using shampoos A and C, but not B (Region IV), is 10 - 3 = 7.