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The choir sold boxes of candy and teddy bears near Valentine’s Day to raise money. They sold 57 items altogether. Bears sold for $8.00 each and each box of candy sold for $6.00. They collected $380. How much of each item did they sell

Respuesta :

Answer:

19 bears, 38 boxes of candy.

Step-by-step explanation:

We can use a system of equations (b = # of bears, c = # of candy boxes):

b + c = 57, 8b + 6c = 380.

We can use substitution by isolating b in the first eq.: b = 57 - c, then substitution b with 57 - c in the second eq.: 8(57 - c) + 6c = 380.

Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.

Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.

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