Question

A sum of money is shared such that Akintola get twice as much as Adeniyi and Bello gets half of Adeniyi's share. Express these amounts in the form of a proportion. If Bello receives 1200naira, how much do Akkntola and Adeniyi each receive?

Answer 1

Adeniyi = (2/7)

Akintola = (4/7)

Bello = (1/7)

Explanation:

Let x stand for the money that Adeniyi recieves for her share. We can then write expressions for all the lucky recipients:

Adeniyi = x

Akintola = 2x [Akintola gets twice as much as Adeniyi]

Bello = (1/2)x [Bello gets half of Adeniyi's share]

The original amount is the sum of all three shares:

Total = x + 2x + (1/2)x

Total = (3+(1/2))x or = (7/2)x

The proportions for each can be set as the ratio of the individual's amount to the total of (7/2)x.

Adeniyi = x/((7/2)x) = (2/7)

Akintola = 2x/((7/2)x) = (4/7)

Bello = (1/2)x/((7/2)x) = (1/7)

Total = (7/7)