Question

Please help. Show working out.

1) A profit of R240 500 is divided in the ration of 5 : 3 : 2 between three partners in a business, according to the number of shares they own.

Calculate how much money is paid to each of the partners.

2) Savanna works for 88 hours and gets paid R7 040. Natalie works for 36 hours and gets paid R3 060.

Calculate their rated of pay per hour, and decide which one of them gets paid better. ​

Answer 1

• Let shares be 5x,3x,2x

ATQ

`\\ \sf\longmapsto 5x+3x+2x=240500`

`\\ \sf\longmapsto 10x=240500`

`\\ \sf\longmapsto x=24050`

• 5x=5(24050)=120250
• 3x=3(24050)=72150
• 2x=2(24050)=48100

Answer 2

Explanation:

1)

According to ratio the sum is:

• 240500 = 5x + 3x + 2x
• 240500 = 10x
• x = 240500/10
• x = 24050

The amount each partner gets:

• 5*24050 = R120250
• 3*24050 = R72150
• 2*24050 = R48100

2)

Savanna's rate is:

• 7040/88 = R80

Natalie's rate is:

• 3060/36 = R85

Natalie gets better payment as 85 > 80