Question

If 5/12 of sophomores at Washington High School have dogs as pets, and 8/15 of sophomores with dogs also

have cats as pets, what portion of the Washington High School sophomores have both dogs and cats as
pets?

19/20
7/60
25/32
2/9

Answer 1

Explanation:

To solve this problem, we can use the formula for finding the intersection of two sets:

Intersection of Set A and Set B = Set A * Set B

Here, Set A is the set of sophomores with dogs as pets, and Set B is the set of sophomores with cats as pets among the students in Set A.

So,

Set A = 5/12 (since 5/12 of sophomores have dogs as pets)

Set B = 8/15 (since 8/15 of sophomores with dogs also have cats as pets)

Multiplying these two fractions, we get:

Set A * Set B = (5/12) * (8/15) = 2/9

Therefore, 2/9 of Washington High School sophomores have both dogs and cats as pets. The answer is 2/9.