Question

Otieno has 200 shillings he shared it to his son and daughter in the ratio 5:3. A)how much did his son receive? B)how much more did his son receive than his daughter

Answer 1

Otieno's son received 125 shillings from the 200 shillings total, based on a sharing ratio of 5:3. The son received 50 shillings more than his daughter, who received 75 shillings.

Step-by-step explanation:

Otieno has 200 shillings to share between his son and daughter in the ratio of 5:3. To calculate how much each person receives, first add the parts of the ratio together: 5 + 3 = 8 parts in total. Then, divide the total amount of shillings by the total number of parts to find out the value of one part: 200 ÷ 8 = 25 shillings per part.

A) How much did his son receive?

1. Multiply the value of one part by the number of parts assigned to the son (5 parts): 25 shillings per part × 5 parts = 125 shillings.

B) How much more did his son receive than his daughter?

1. Calculate the daughter's share by multiplying the value of one part by the number of parts assigned to the daughter (3 parts): 25 shillings per part × 3 parts = 75 shillings.
2. Subtract the daughter's share from the son's share to find the difference: 125 shillings - 75 shillings = 50 shillings more.

Therefore, Otieno's son received 125 shillings, and the son received 50 shillings more than his daughter.