<There's a picture of a small balloon for $1.25 and a large balloon for $2.99>
Sam has $10 to buy balloons at the Village Gift Shop. He will follow all of the rules listed below to choose his balloons.
He will buy at least one of each size of balloon
He will buy as many balloons as he can
He will spend as close to $10 as he can without going over.
The first rule is simple, you spend $4.24 on 1 large balloon and 1 small balloon. Now you have 5.76 cents left.
You could buy 4 more small ballons for $5.00, and you'd now have 6 total balloons and will have spent $9.24.
You could buy 1 large balloon for $2.99 and 2 small balloons for $2.50 and will have spent $9.73
If the primary goal was to buy the most balloons, answer 1 gives you 6 balloons (compared to 5).
If the primary goal was to come as close to $10 without going over, answer 2 gives you $9.73 (compared to $9.24).
The question says follow ALL of the rules listed below, but two of the rules give you different answers and there is no single answer that follows ALL the rules.