An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and – white models each selling at \$119. The rest wer

Question

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and – white models each selling at \$119. The rest were color sets at \$319 each. The sale brought in \$10,360. How many color sets were sold?

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2 weeks 2021-09-11T01:50:59+00:00 1 Answer 0

1. Answer: 28 color sets were sold

Step-by-step explanation:

Let x represent the number of black-and – white models that were sold.

Let y represent the number of color sets that were sold.

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and – white models while the rest were color sets.. It means that

x + y = 40

Black-and – white models each sold for \$119. Color sets sold at \$319each. The sale brought in \$10,360. It means that

119x + 319y = 10360 – – – – – — – – – – -1

Substituting x = 40 – y into equation 1, it becomes

119(40 – y) + 319y = 10360

4760 – 119y + 319y = 10360

– 119y + 319y = 10360 – 4760

200y = 5600

y = 5600/200

y = 28