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vaibhav101
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From the information, "Jim earns x$/hr, it will take him 4 hrs to buy a jacket," we know that the cost of the jacket = 4xvaibhav101 wrote:if Jim earns x$/hr, it will take him 4 hrs to buy a jacket. If Tom earns y$/hr, it will take him exactly 5 hrs to buy the same jacket. How much does the jacket cost?
1) Tom makes 20% less per hour than Jim does
2) x+y=$43.75
And from the information, "Tom earns y$/hr, it will take him 5 hrs to buy a jacket," we know that the cost of the jacket = 5y
=> 4x = 5y
If we get the value of either x or y, we get the cost of the jacket.
Let's take each statement one by one.
1) Tom makes 20% less per hour than Jim does.
=> y = x - 20% of x = 0.8 x
From the relationship 4x = 5y, we already know that y = 0.8x. This is not additional information; we already know this. Insufficient.
2) x + y= $43.75
From 4x = 5y, we have x = 1.25 y.
Plugging-in the value of x in x + y=$43.75, we 1.25y + y=$43.75.
=> 2.25y = 43.75
y= 43.75/2.25 = a unique value; we need not calculate it till we are sure that we have a unique value.
Thus, the cost of the jacket = 5y = 5*[43.75/2.25] = a unique value. Sufficient.
The correct answer: B
Hope this helps!
-Jay
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