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Answer :
Sandra needs 8 kilos of fruit juice and 2 kilos of club soda to make 10 kilos of punch.
Let's denote the number of kilos of club soda as "C" and the number of kilos of fruit juice as "F".
According to the given information, the number of kilos of fruit juice is 4 times the number of kilos of club soda. Mathematically, we can express this as:
F = 4C
Sandra is making 10 kilos of punch in total, which consists of fruit juice and club soda. So, we have:
F + C = 10
Now we can solve this system of equations to find the values of F and C.
Substituting F = 4C into the second equation, we have:
4C + C = 10
Simplifying, we get:
5C = 10
Dividing both sides by 5, we find:
C = 2
Substituting the value of C back into the first equation, we have:
F = 4(2)
F = 8
Therefore, Sandra needs 8 kilos of fruit juice and 2 kilos of club soda to make 10 kilos of punch.
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