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?

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