Question

In a bag of colored jelly beans, the ratio of yellow to orange to red is 6:5:4. If there are 60 jelly beans in the bag, how many of each color are there?

a) 24 yellow, 20 orange, 16 red
b) 30 yellow, 25 orange, 20 red
c) 36 yellow, 30 orange, 24 red
d) 18 yellow, 15 orange, 12 red

Answer 1

To determine the number of yellow, orange, and red jelly beans in the bag, the ratio 6:5:4 is multiplied by the value of one part, which is 4. The bag contains 24 yellow, 20 orange, and 16 red jelly beans.

Step-by-step explanation:

To determine how many jelly beans of each color are in the bag, we first add up the parts of the ratio which are 6 (yellow) + 5 (orange) + 4 (red) = 15 parts in total. Since there are 60 jelly beans, we find the value of one part by dividing 60 by the total number of parts: 60 ÷ 15 = 4. This means each part in the ratio represents 4 jelly beans.

To find the number of yellow jelly beans, we multiply the yellow part of the ratio (6) by the value of one part: 6 × 4 = 24 yellow jelly beans.

To find the number of orange jelly beans, we multiply the orange part of the ratio (5) by the value of one part: 5 × 4 = 20 orange jelly beans.

To find the number of red jelly beans, we multiply the red part of the ratio (4) by the value of one part: 4 × 4 = 16 red jelly beans.

So, the correct answer is: 24 yellow, 20 orange, 16 red jelly beans, which corresponds to option (a).