Question

John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 3 to 1. If he wants to use a total of 64 cans, how many cans of green beans should he use?

Answer 1

The number of Pumpkin can used = 48 cans

The number of Green Beans can used = 16 cans

Explanation:

The ratio of Pumpkin to Green Beans = 3 : 1

So, for every 3 can of Pumpkin, 1 can of green beans is used.

Now, the total number of John wants to use = 64

Let us assume the common factor in the ratio is m.

⇒ The number of Pumpkin can used = 3 m

The number of Green Beans can used = 1 m = m

So, the Total cans used = Number of (Pumpkin + Green Beans) can

⇒ 3 m + m = 64

or, 4 m = 64

⇒ m = 64/ 4 = 16

Hence, The number of Pumpkin can used = 3 m = 3 x 16 = 48 cans

The number of Green Beans can used = m = 16 cans