Mark bought four times as many apples as Harry and three times as many apples as Martin. If Mark, Harry, and Martin purchased less than a total of 190 apples, what's the greatest number of apples that mark could have purchased?

Answer 1

x = Mark's
y = Harry's
z = Martin's

x = 4y so y =1/4 x
x = 3z so z = 1/3 x

x + 1/4 x + 1/3 x < 190
12/12 x + 3/12 x + 4/12 x <190

Solve for x.

Answer 2

168