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At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

A. $21 B. $27 C. $31 D. $41 E. It cannot be determined

At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $164.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola?

A. $21 B. $27 C. $31 D. $41 E. It cannot be determined

Let's suppose that the price of a burger is \(B\), of a shake - \(S\) and that of a cola is \(C\). We can then construct these equations: \(3B+7S+C = 120\) \(4B+10S+C = 164.5\) Subtracting the first equation from the second gives us \(B+3S=44.5\).

Now if we subtract the new equation two times from first or 3 times from second we will get \(B+S+C=31\). In any case, there is no necessity to know each item's price, just the sum.