Question

A toy vending machine contains football helmets and sticky hands.

There are 36 items in the machine. Winning a football helmet has five
imes as many favorable outcomes as winning sticky hands. How many of
each item is in the machine?

Answer 1

• 30 helmets
• 6 sticky hands

Explanation:

You want to know the number of each item if there are 36 items with 5 times as many helmets as sticky hands.

Ratio

The ratio of helmets to hands is 5 : 1, Then a group with this ratio might consist of 5 helmets and 1 hand for a total of 6 items. In 36 items, there can be 36/6 = 6 such groups.

The number of helmets is 6·5 = 30.

The number of hands is 6·1 = 6.