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13 Jan 2014, 06:13
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Difficulty:
35%
(medium)
Question Stats:
73% (02:15) correct
27%
(02:07)
wrong
based on 130
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For each customer, a yogurt shop charges a cents for the first 5oz of purchased yogurt. Each additional ounce of yogurt costs the customer b cents. What is the value of a ?
(1) A customer who buys 10oz of yogurt is charged 10 percent less per ounce than a customer who buys just 5oz of yogurt.
(2) A customer who buys 20oz of yogurt is charged $2.50.
(1) A customer who buys 10oz of yogurt is charged 10 percent less per ounce than a customer who buys just 5oz of yogurt.
(2) A customer who buys 20oz of yogurt is charged $2.50.
13 Jan 2014, 07:15
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For each customer, a yogurt shop charges a cents for the first 5oz of purchased yogurt. Each additional ounce of yogurt costs the customer b cents. What is the value of a ?
The cost of n>=5 oz of yogurt is \(a+(n-5)b\).
(1) A customer who buys 10oz of yogurt is charged 10 percent less per ounce than a customer who buys just 5oz of yogurt --> \(\frac{a+(10-5)b}{10}=0.9\frac{a}{5}\) --> \(b=0.16a\). Not sufficient.
(2) A customer who buys 20oz of yogurt is charged $2.50 --> \(a+(20-5)b=250\). Not sufficient.
(1)+(2) We have two distinct linear equations with two unknowns, thus we can solve for both. Sufficient.
Answer: C.
The cost of n>=5 oz of yogurt is \(a+(n-5)b\).
(1) A customer who buys 10oz of yogurt is charged 10 percent less per ounce than a customer who buys just 5oz of yogurt --> \(\frac{a+(10-5)b}{10}=0.9\frac{a}{5}\) --> \(b=0.16a\). Not sufficient.
(2) A customer who buys 20oz of yogurt is charged $2.50 --> \(a+(20-5)b=250\). Not sufficient.
(1)+(2) We have two distinct linear equations with two unknowns, thus we can solve for both. Sufficient.
Answer: C.
05 Jan 2016, 22:34
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For each customer, a yogurt shop charges a cents for the first 5oz of purchased yogurt. Each additional ounce of yogurt costs the customer b cents. What is the value of a?
(1) A customer who buys 10oz of yogurt is charged 10 percent less per ounce than a customer who buys just 5oz of yogurt.
(2) A customer who buys 20oz of yogurt is charged $2.50
(1) A customer who buys 10oz of yogurt is charged 10 percent less per ounce than a customer who buys just 5oz of yogurt.
(2) A customer who buys 20oz of yogurt is charged $2.50
