24) The sum of Sh.51000 was shared among three partners; Amos, John and peter such that the ratio of Amos : John = 4:3 while John: Peter = 2:1. Calculate the amount received by Peter. (3 marks)

Sh. 9000

Step-by-step explanation:

John : Peter = 2 : 1

John/peter = 2/1

John = 2 Peter (1)

Amos : John = 4:3

Amos/John = 4/3

Amos = 4/3 John.. (2)

From (1) & (2)

Amos = 4/3 * 2 Peter = 8/3 Peter (3)

Since,

Amos + John + Peter = 51000

Therefore,

8/3 Peter + 2peter + Peter = 51000

(8+6+3)/3 *Peter = 51000

17/3 * Peter = 51000

Peter = 51000 * 3/17

Peter = 3000 * 3

Peter = 9000

Hence, amount received by Peter is Sh. 9000.

i believe the correct answer is b.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.