Question

The recipe for cereal squares uses the ratio 20 large marshmallows to 3 cups of cereal. The ratio of mini-marshmallows to large marshmallows is 3 to 1. How many mini-marshmallows will Jamie need to mix with 6 cups of cereal to make cereal squares?

1) 50
2) 60
3) 80
4) 120

Answer 1

Jamie needs 120 mini-marshmallows to mix with 6 cups of cereal to make cereal squares, calculated by doubling the amount of large marshmallows needed for the increased cereal and then tripling that number to convert to mini-marshmallows.

Step-by-step explanation:

To determine how many mini-marshmallows Jamie will need to mix with 6 cups of cereal to make cereal squares, we first look at the given ratios in the question. The original recipe uses a ratio of 20 large marshmallows to 3 cups of cereal. Since Jamie is using 6 cups of cereal, which is double the amount in the recipe, she will need twice the number of large marshmallows, which is 40 large marshmallows (20 x 2 = 40). Next, using the ratio of mini-marshmallows to large marshmallows, which is 3 to 1, we find that Jamie will need 3 times the amount of mini-marshmallows as large marshmallows. Therefore, Jamie needs 40 large marshmallows x 3 mini-marshmallows per large marshmallow = 120 mini-marshmallows.