Question

Mark tossed 6 balls while playing a number games. Three balls landed in one section, and 3 balls landed in another section. His score is greater than one hundred thousand. What could his score be?

Answer 1

3x + 3y > 100,000 → 3(x + y) > 100,000 → x + y > 100,000 ÷ 3

His score has to be a multiple of 3 in order to have a whole number

100,000 ÷ 3 = 33,333 .33

100,001 ÷ 3 = 33,333.66

100,002 ÷ 3 = 33,334 (the first multiple of 3 greater than 100,000)

His score could be 100,002 or 100,002 + 3n; where n is a whole number