Question

One third of the campers at a summer camp signed up for an arts-and-crafts class. Of these campers, one fifth signed up for woodworking. What fraction of the campers signed up for woodworking?

Answer 1

To determine the fraction of campers that signed up for woodworking, we multiply 1/3 by 1/5, resulting in 1/15 of the campers having signed up for the woodworking class.

Step-by-step explanation:

To find what fraction of the campers signed up for woodworking, you multiply the fraction that signed up for arts-and-crafts by the fraction that signed up for woodworking from within that group. If one third of the campers signed up for an arts-and-crafts class, and then one fifth of these campers signed up for woodworking, you would calculate the fraction for woodworking as follows:

1. Determine the fraction for the arts-and-crafts class: 1/3 of the campers.
2. Determine the fraction of the arts-and-crafts campers who signed up for woodworking: 1/5 of the 1/3.
3. Multiply these two fractions: (1/3) × (1/5) = 1/15.

Therefore, 1/15 of the total campers signed up for woodworking.