Question

(a) Angela and Barbra decided to start a business together. Angela invested $24000 and Barbara invested

$16000. They share all profits in the same ratio as the money was invested. they made a
total profit of $15000 at the end of the year, how much money did each person recieve?
(b) sum of money is shared among two friends in the ratio 4:9. If the smaller amount is $560, find the
larger amount.

(c) The sum $4500 is divided among Anesha, Sian and Joanne. Sian received half, Anesha received $1050
and Joanne recieved the remainder. Calculate:
i. Sian's share
ii. Joanne's share
iii. The ratio in which the $4500 was divided among the three persons in simplest form.​

Answer 1

9514 1404 393

Answer:

(a) A : B = $9000 : $6000

(b) $1260

(c) A : S : J = $1050 : $2250 : $1200 = 7 : 15 : 8

Explanation:

(a) The investment ratio is ...

Angela : Barbara = 24000 : 16000 = 3 : 2

The profit of 15,000 goes 3/(3+2) = 3/5 to Angela, and 2/5 to Barbara:

Angela's share: (3/5)($15,000) = $9,000

Barbara's share: (2/5)($15,000) = $6,000

__

(b) We can multiply the ratio by $140 to see the larger amount:

4 : 9 = ($140)(4) : ($140)(9) = $560 : $1260

The larger share is $1260.

__

(c) Sian gets (1/2)($4500) = $2250. Anesha gets $1050. So Joanne gets ...

$2250 -1050 = $1200

Then the shares are ...

i. Sian: $2250

ii. Joanne: $1200

iii. Ratios: A : S : J = 105 : 225 : 120 = 7 : 15 : 8