Bunuel wrote:
A gourmet cheese shop sold several orders of English Stilton and Spanish Manchego yesterday. Customer A purchased 15 pounds of English Stilton and 3.75 pounds of Spanish Manchego for a total of $438.00. If the price for each of these cheeses is proportional to its weight, what is the price of 1 pound of Spanish Manchego?
(1) Customer B purchased 5 pounds of English Stilton and 4 pounds of Spanish Manchego for a total of $214.75.
(2) Customer C purchased 6 pounds of English Stilton and 1.5 pounds of Spanish Manchego for a total of$175.20.
The question premise states that the price of the cheeses is proportional to its weight.
Price = Weight *Constant
- Price of 15 pounds of ES cheese =\(15*x\) ⇒\(x\) is aconstant
- Price of 3.75 pounds of SM cheese =\(3.75*y\) ⇒\(y\) is aconstant
\( 15*x + 3.75*y =438\) ---(1)
Statement1
(1) Customer B purchased 5 pounds of English Stilton and 4 pounds of Spanish Manchego for a total of$214.75.
\( 5*x + 4*y =214.75\)
Multiplying by 3 on bothsides
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Statistics : Posted by gmatophobia • on 11 Aug 2023, 10:00 • Replies 1 • Views 102