Question

A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in fours there are 3 left over. When they line up in fives there are 4 left over. When they line up in sixes there are 5 left over.

Answer 1

Answer: They are 59 members in the band

Explanation:

given data:

when lined up in 3 = 2 left.

when lined up in 4 = 3 left

when they are lined up in 5 = 4 left

when they are lined up in 6 = 5 left

Solution:

From the given data, we know the band number ends with 9, so we start with 9,29,49,59. We test till we arrive at our desired answer.

59/3 = 19 R 2.

59/4 = 14 R 3.

59/5 = 11 R 4.

59/6 = 9 R 5.

They are 59 members in the band.