Honza + Alice + Tonda

Honza + Alice + Tonda have a total of 111 USD. The ratio between Honza and Alena is 5:6 and the ratio between Alice and Tonda is 4:5

How many money have each of them?

Correct answer:

H =  30
A =  36
T =  45

Step-by-step explanation:

h+a+t = 111
6h = 5a
5a = 4t

h+a+t = 111
6•h = 5•a
5•a = 4•t

a+h+t = 111
5a-6h = 0
5a-4t = 0

a = 36
h = 30
t = 45

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