Question

PLEASE ELXPLAIN IM GIVING 30 POINTS

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 4 to 2. If he wants to use a total of 114 cans, how many cans of green beans should he use?

A.
21 cans
B.
38 cans
C.
6 cans
D.
36 cans

Answer 1

John used 76 cans of pumpkin and (76/2) = 38 cans of green beans.

So the answer is:

B. 38 cans.

The ratio of pumpkin to green beans is 4 to 2, which can be simplified to 2 to 1. This means that for every 2 cans of pumpkin, John needs 1 can of green beans.

Let x be the number of cans of pumpkin used. Then the number of cans of green beans used is x/2.

The total number of cans used is x + x/2 = (3/2)x.

We know that the total number of cans used is 114, so:

(3/2)x = 114

Multiplying both sides by 2/3:

x = 76

Therefore, John used 76 cans of pumpkin and (76/2) = 38 cans of green beans.

So the answer is B. 38 cans.