Question

If $560 is shared in the ratio 2:3:9, then the difference between the largest and the smallest is?

Answer 1

Answer:

280 Dollars

Step-by-step explanation:

Given,

Total amount = 560 Dollars

Ratio of shared amount = 2:3:9

So,

2x + 3x + 9x = 560

14x = 560

x = 560/14

x = 40

First amount = 2(40) = 80 Dollars

Second amount = 3(40) = 120 Dollars

Third amount = 9(40) = 360 Dollars

Largest amount = 360

Smallest amount = 80

Difference = 360 - 80

                  = 280 Dollars//

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Answer 2

Step-by-step explanation:

Let the ratio = x

A/c

2x + 3x + 9x =560

14x = 560

x= 560 ÷14

x=40

difference between largest and the smallest =

9×40- 2×40= 360 -80 =280