Question

On his death, a wealthy businessman left R132 000 to charity. He declared that the money should be given to the following charities: 'The Reach for a Dream Foundation', NSPCA and Smile, in the following ratio 3 : 4 : 5.

Determine the amount each foundation received.​

Answer 1

The Reach for a Dream Foundation received R33000, NSPCA received R44000, and Smile received R55000.

Explanation:

Total money for charity = R132,000

Ratio:

3 : 4 : 5

Charities:

The Reach for a Dream Foundation : NSPCA : Smile

x : y : z

3x + 4y + 5z = R132000

Charity 1 = Charity 2 = Charity 3

x = y = z

3x + 4x + 5x = R132000

x = 11000

The Reach for a Dream Foundation:

3(11000) = R33000

NSPCA:

4(11000) = R44000

Smile:

5(11000) = R55000

Double Check:

R33000 + R44000 + R55000 = R132000