A shop offers candy bars for sale either individually or in packs of 10. If buying a pack of 10 candy bars costs less than buying 10 individual candy bars, how much does the shop charge for a pack of 10 candybars?
Let's assume the cost of a pack of 10 candy bars is\(x\) and the cost of an individual candy bar is\(y\) .
(1) Buying a pack of 10 candy bars costs $2 more than buying 8 individual candy bars.
From this, we have:\( x = 8y +2\) . With two unknowns and one equation, this is not sufficient to determine\(x\) .
(2) Buying a pack of 10 candy bars costs 10 percent less than buying 10 individual candy bars.
From this, we have:\( x = 0.9*10y\) . Again, with two unknowns and one equation, we cannot determine\(x\) .
(1)+(2) We have two distinct linear equations with two unknowns. Thus, we can solve for both\(x\) and\(y\) . Sufficient.
Answer: C
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Let's assume the cost of a pack of 10 candy bars is\(x\) and the cost of an individual candy bar is\(y\) .
(1) Buying a pack of 10 candy bars costs $2 more than buying 8 individual candy bars.
From this, we have:\( x = 8y +2\) . With two unknowns and one equation, this is not sufficient to determine\(x\) .
(2) Buying a pack of 10 candy bars costs 10 percent less than buying 10 individual candy bars.
From this, we have:\( x = 0.9*10y\) . Again, with two unknowns and one equation, we cannot determine\(x\) .
(1)+(2) We have two distinct linear equations with two unknowns. Thus, we can solve for both\(x\) and\(y\) . Sufficient.
Answer: C
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Statistics : Posted by Bunuel • on 24 Jul 2015, 12:39 • Replies 2 • Views 4979
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