Question

9
(a) Ali and Mo share a sum of money in the ratio Ali : Mo = 9:7.
Ali receives $600 more than Mo.
Calculate how much each receives.​

Answer 1

Answer:

Ali has 2700 and mo has 2100

Step-by-step explanation:

ratio of Ali and mo =9:7

=>9x:7x

Ali has 600 more than mo so,

9x-600=7x

transporting 7x to LHS &600 to RHS

9x-7x=600

2x=600

x=300

9x=2700

7x=2100

this may helps you

Answer 2

Given:

The ratio of the shares of the money (Ali : Mo) = 9:7

Ali receives $600 more than Mo

To find:

The amount each person receives

Calculation:

Let the amount received by Ali be x and the amount received by Mo be y. According to the given data

=> x/y = 9/7

=> 7x-9y = 0    ......(1)

=> x = y+600   ......(2)

From equations (1) and (2)

=> 7[y+600] -9y = 0

=> 7y + 4200 - 9y = 0

=> 2y = 4200

=> y = 2100

=> x=y+600

=> x=2100+600

=> x=2700

Ali will receive $2700 and Mo receives $2100