Trio ratio

Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?

Correct answer:

a =  240
h =  200
t =  300

Step-by-step explanation:

h+a+t = 740
6h = 5a
5a = 4t

h+a+t = 740
6•h = 5•a
5•a = 4•t

a+h+t = 740
5a-6h = 0
5a-4t = 0

a = 240
h = 200
t = 300

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