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There are 104 bottles of coke packed in 4 − packs and 6 − packs. If the number of packs is 20, what is the number of 6 − packs?

Explanation

Answer: E - The number of 6 − packs is 12. Denote 4 − packs with x and 6 − packs with y.

4x + 6y = 104
x + y = 20

Solve the system of inequalities.
4x + 6y = 104
x = 20 − y
4(20 − y) + 6y = 104
80 − 4y + 6y = 104
2y = 104 − 80
2y = 24
y = 24/2 = 12

There are 12 six − packs.

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