The cheer leading team is selling gift baskets as a fundraiser. Each basket will contain 3 different sizes of candles: small, medium, large. Small candles cost $1 each, medium $4 each, and large candles cost $6 each. The team has decided to sell baskets containing 8 candles for $24 each. Each basket contains as many small candles as medium and large combined. How many small candles are in a basket?
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Suppose number of small candles in the basket be denoted by x, medium ones by y and large ones by z. Now according to the problem, we have the basic equation as x+4y+6z=24 Also, x=y+z since number of small candles are equal to the large and medium ones combined Combining the above two equations, 5y+7z=24;.................(1) Also as the total number of candles are 8: x+y+z=8; or, 2y+2z=8 (since x=y+z).......(2) Solving (1) and (2),(I believe you can do that) y=2, z=2; So number of small candles, x=y+z=4. So, the answer is 4.
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