Question

30 sweets are shared between 2 groups in the ratio 3:7. How many sweets are in each group?

Answer 1

To divide 30 sweets between two groups in a 3:7 ratio, we calculate that one part equals 3 sweets, resulting in Group 1 receiving 9 sweets and Group 2 receiving 21 sweets.

Step-by-step explanation:

To determine how many sweets each group gets when 30 sweets are shared in the ratio of 3:7, we first need to find the total number of parts in the ratio. The total parts will be 3 parts + 7 parts = 10 parts. Now, we divide the total number of sweets by the total number of parts to find how many sweets represent one part.

30 sweets ÷ 10 parts = 3 sweets per part.

Next, we multiply the number of sweets per part by the number of parts for each group. So for the first group:

Group 1 (3 parts): 3 sweets/part × 3 parts = 9 sweets

Group 2 (7 parts): 3 sweets/part × 7 parts = 21 sweets

This way, the sweets are divided in the given ratio, with Group 1 receiving 9 sweets and Group 2 receiving 21 sweets.

Answer 2

See explanation below

Step-by-step explanation:

Given the ratio between two groups to be 3:7

Total ratio = 3+7 = 10

Total sweet shared = 30sweets

For the group with ratio of 3;

Share = 3/10×30

Share = 3×3

Share = 9 sweet

For the group with ratio of 5

This share = 7/10×30

This share = 7×3

This share = 21sweet