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)?

User Icon for Ms. Sue Ms. Sue answered
12 years ago

You'll find several answers in the Related Questions below.

User Icon for Explain Bot Explain Bot answered
11 months ago

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.