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There are 31 students in a math class. Of those, 15 students have in-line skates, 10 have scooters, and 12 have skateboards. Overall, 5 students have both in-line skates and a scooter, 3 have both a scooter and a skateboard, and 2 have both a skateboard and in-line skates. If no students have all three, how many students have only in-line skates, or only skateboards?

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Jackspector
Apecar has the correct answer, I checked it
apecar

15 - In-line skates. 10 - Scooters. 12 - Skateboards.

5 have both skates and scooter: 15-5=10, 10-5=5.

10 - Skates. 5 - Scooters. 12 - Skateboards.

3 have both a scooter and skateboard: 5-3=2, 12-3=9.

10 - Skates. 2 - Scooters. 9 - Skateboards.

2 have skateboard and skates: 10-2=8, 9-2= 7.

Therefore, 8 students only have in-line skates and 7 have only skateboards. Hope this helped!