Seats in an auditorium are numbered 1-500, and the principal is handing out snacks in an assembly. Every student whose seat is a multiple of 4 gets chocolate. Every student in a seat that is a multiple of 7 gets jelly beans, and every student in a seat that is a multiple of 10 gets chips.

The student in which seat number is the first to get all 3 treats?

Question

Mathematics

Natalya Waters

29 September, 10:31

Seats in an auditorium are numbered 1-500, and the principal is handing out snacks in an assembly. Every student whose seat is a multiple of 4 gets chocolate. Every student in a seat that is a multiple of 7 gets jelly beans, and every student in a seat that is a multiple of 10 gets chips.

The student in which seat number is the first to get all 3 treats?

+4

Answers (2)

Know the Answer?

Makena Braun · Answer 1

It would be seat # 140.

Prime factorization of 4 = 2 * 2

Prime factorization of 7 = 1 * 7

Prime factorization of 10 = 1 * 2 * 5

Combining the prime factorizations: 1 * 2^2 * 5 * 7 = 140

Jayson Lowery · Answer 2

The student in seat 35 will be the first to get all 3 treats.