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23 Feb 2022, 06:30
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C
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Difficulty:
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Question Stats:
89% (01:12) correct
11%
(00:52)
wrong
based on 36
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A certain bakery sells wheat bread in 8-ounce loaves and 12-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 12-ounce loaf of wheat bread in this bakery?
(1) The price of two 8-ounce loaves of this bread is $1.80
(2) The price of one 8-ounce loaf and a 12-ounce loaf of this bread is $2.00
(1) The price of two 8-ounce loaves of this bread is $1.80
(2) The price of one 8-ounce loaf and a 12-ounce loaf of this bread is $2.00
28 Feb 2022, 14:04
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Bunuel
A certain bakery sells wheat bread in 8-ounce loaves and 12-ounce loaves, and all loaves of the same size sell for the same price per loaf regardless of the number of loaves purchased. What is the price of a 12-ounce loaf of wheat bread in this bakery?
(1) The price of two 8-ounce loaves of this bread is $1.80
(2) The price of one 8-ounce loaf and a 12-ounce loaf of this bread is $2.00
(1) The price of two 8-ounce loaves of this bread is $1.80
(2) The price of one 8-ounce loaf and a 12-ounce loaf of this bread is $2.00
Given: The bakery sells wheat bread in 8-ounce loaves and 12-ounce loaves
Let x = the price (in dollars) of one 8-ounce loaf of bread
Let y = the price (in dollars) of one 12-ounce loaf of bread
Target question: What is the value of y?
Statement 1: The price of two 8-ounce loaves of this bread is $1.80
From this information, we can write: 2x = 1.80, which we can solve to get x = 0.90
Since we have no information about the value of y, we can’t answer the target question with certainty.
Statement 1 is NOT SUFFICIENT
Statement 2: The price of one 8-ounce loaf and a 12-ounce loaf of this bread is $2.00
From this information, we can write: x + y = 2
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 1.75 and y = 0.25, in which case the answer to the target question is y = 0.25
Case b: x = 1.65 and y = 0.35, in which case the answer to the target question is y = 0.35
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 1 tells us that x = 0.90
Statement 2 tells us that x + y = 2
Plug x = 0.90 into the bottom equation to get: 0.90 + y = 2, which means y = 1.10
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
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