The shoe store has 720 pairs of shoes for sale. Each pair of shoes is being sold for $25.00. If all of the shoes are sold, how m
uch will the shoe store make if their profit is 25% of the selling price?
$4,500.00
$4,200.00
$4,750.00
$4,250.00
$4,500.00
$4,200.00
$4,750.00
$4,250.00
2 answers:
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Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
