A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio
3:4:6. How much more money does Max have than Adam?

Respuesta :

Answer:

$ 24

Step-by-step explanation:

Ratio = 3 : 4 : 6

Amount with Adam = 3x

Amount with Charlie = 4x

Amount with Max = 6x

Total amount = $104

3x + 4 x + 6x = 104

            13x = 104

               x = 104/13

x = 8

Amount with Max =  6x = 6*8 = $ 48

Amount with Adam = 3x = 3 *8 = $ 24

Amount that is more with Max than Adam = 48 - 24 = $ 24

Question:-

A sum of $104 is divided among three friends Adam, Charlie and Max in the ratio 3 : 4 : 6. How much more money does Max have than Adam ?

Solution:-

Ratio = 3 : 4 : 6 (Given)

[tex] \bullet [/tex] Let the sum of Adam be 3x

[tex] \bullet [/tex] Let the sum of Charlie be 4x

[tex] \bullet [/tex] Let the sum of Max be 6x

[tex] \therefore [/tex] Total sum = $104 (Given)

So,

ATQ ,

3x + 4x + 6x = 104

13x = 104

x = [tex] \bf \frac{104}{13} [/tex]

x = 8

Now, total sum of Adam = 3x = 3 × 8 = $24

Total sum of Max = 6x = 6 × 8 = $48

Required money Max have more than Adam = (48 - 24) = $24

$24 money does Max have more than Adam. [Answer]

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