Answer: 2 lbs of cherries
Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb
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Define x and y
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Let x be the number of lb of cherries
Let y be the number of lb of oranges
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Construct equations
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x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)
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Solve x and y
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From equation (1):
x + y = 6
x = 6 - y
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Substitute x = 6 - y into equation 2
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5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4
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Substitute y = 4 into equation (1)
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x + y = 6
x + 4 = 6
x = 2
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Find the weight of cherries and oranges
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Cherry = x = 2 lb
Oranges = y = 4 lbs
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Answer: Alex bought 2 lb of cherries
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Answer:
25%
Step-by-step explanation:
Let the original price of A pair of skis be $100
discount given on A pair of skis = 20% on original price
discount value of A pair of skis in $ = 20% * $100
= (20 * 100)/100 = $20
discounted price of A pair of skis = original price - discount = 100 -20 = $80
in order to increase discounted price to original price of $100
there must be increase of $20 to discounted price which is $80
percentage increase on discounted price to return to the original price =
therefore 25% must be increase on discounted price to return to the original price
Answer:
attached below
Step-by-step explanation:
Applying the rule of logical equivalences
attached below is a detailed solution ( written as a numbered sequence of statements )
58 212 2800 900
/ \ / \ / \ / \
29 2 2 106 700 4 3 300
/ \ / \ / \ / \
2 53 70 10 2 2 3 100
/ \ / \ / \
7 10 5 2 2 50
/ \ / \
5 2 5 10
/ \
5 2
The prime factors are in bold.
Quickly using a calculator (or long division) reveals that 191/238=<span>0.8025=80.25%, which is close to 80%=4/5
Similarly, 106/160=0.6625=66.25%, which is close to 66.67%=2/3</span>
