James has a certain number of apples. He gave half of them to Tim. He also gave Maya one third. He has 10 apples left. How many did he have to start with?

1 answer

Let X be the number of apples James started with.
James gave Tim X/2 apples.
James gave Maya X/3 apples.
James has X - X/2 - X/3 = 10 apples left.
Combining like terms, we get (3X - X - 2X)/6 = 10
Combining like terms again, we get 0.5X/6 = 10
Dividing both sides by 0.5/6, we get X = 10 * (6/0.5)
Multiplying the numerator and denominator, we get X = 60/0.5 = <<60/0.5=120>>120 apples. Answer: \boxed{120}.