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Question 992177: A student who can afford to spend up to $2,200 sees the ad shown in the illustration. If she buys a computer, how many games can she buy?
Image is in the following link..
https://www.webassign.net/gfcolalg/1-7-82.gif
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let
x = number of games bought
y = total cost (computer + games)
The laptop costs $1,695.95. This is the fixed cost. It does not change based on the number of games bought.
The variable cost is the cost associated with the games bought. If you buy x games, then it will cost you x*19.95 = 19.95x dollars.
The total cost is therefore
y = 19.95x + 1695.95
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We are given "A student who can afford to spend up to $2,200"
So 2200 dollars is the max amount allowed to be spent. Plug in y = 2200 and solve for x
y = 19.95x + 1695.95
2200 = 19.95x + 1695.95 ... replace y with 2200
2200 - 1695.95 = 19.95x + 1695.95 - 1695.95 ... Subtract 1695.95 from both sides.
504.05 = 19.95x
504.05/19.95 = 19.95x/19.95 ... Divide both sides by 19.95 to isolate x.
25.265664160401 = x
x = 25.265664160401
x = 25 ... round down to the nearest whole number
So this student can buy at most 25 games. If she bought 26 games, then she'd go over budget (notice how 19.95*26 + 1695.95 = $2,214.65 is larger than $2,200)
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