Question

Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of

sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 11/2 cups
of sugar. What is the maximum number of cookie batches he can make?

Answer 1

He can make only one batch of cookies.

Explanation:

Just by mental math you can say he can make maximum one batch of cookies.

Total sugar = 10 cups

sugar used for lemonade = 2 cups

leftover sugar = 8 cups

For 1 batch of cookie sugar needed = 11/2

which means 5 and 1/2 cups

And he's just left with 8 cups of sugar after lemonade

8 - 5 1/2 = 2 1/2 which is not enough for 2nd batch

That means the maximum number of cookies batches is 1.

Another way to solve it by inequality:

2+Il/2 X < 10

11/2 X < 8

11X < 16

X < 1 6/11

So he can make only one batch of cookies.