Question

3.) A special cereal mixture contains rice, wheat and corn in the ratio of

2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn
does it contain?​

Answer 1

7.5 pounds of corn.

Step-by-step explanation:

Rice=2x -> 3 pounds

Wheat=3x

Corn=5x

2x=3

x=1.5

5*1.5

=7.5

Answer 2

7.5

Step-by-step explanation:

Let R = rice.

Let W = wheat.

Let C = corn.

Let X = special cereal mixture

Given the following data;

Ratio of rice, wheat and corn = 2:3:5

Total quantity of rice = 3 pounds.

Ratio = 2 + 3 + 5 = 10

For rice;

2/10 * X = 3

Cross multiplying, we have;

2X = 30

X = 30/2 = 15

Therefore, the total quantity of the special cereal mixture is 15 pounds.

To find the total amount of corn;

C = 5/10 * 15

C = 75/10

C = 7.5 pounds.

Hence, the special cereal mixture contains 7.5 pounds of corn.

To find the total amount of wheat;

W = 3/10 * 15

W = 45/10

W = 4.5 pounds.

Check;

Special cereal mixture = rice + wheat + corn.

Special cereal mixture = 3 + 4.5 + 7.5

Special cereal mixture = 15 pounds.