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Sally bought chocolate chip cookies at x dollars per box and oatmeal c
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17 May 2021, 14:26
17 May 2021, 14:26
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Question Stats:
63% (02:34) correct
36% (01:53) wrong based on 30 sessions
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Sally bought chocolate chip cookies at x dollars per box and oatmeal cookies at y dollars per box. Two boxes of chocolate chip cookies cost 6 dollars less than 4 boxes of oatmeal cookies and 2 boxes of oatmeal cookies cost 3 dollars more than a box of chocolate chip cookies.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x |
y |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: Sally bought chocolate chip cookies at x dollars per box and oatmeal c
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17 May 2021, 19:37
17 May 2021, 19:37
1
Chocolate chip cookies at x dollars per box & oatmeal cookies at y dollars per box.
Two boxes of chocolate chip cookies cost 6 dollars less than 4 boxes of oatmeal cookies.
\(2x = 4y - 6\)
\(x = 2y - 3\)
2 boxes of oatmeal cookies cost 3 dollars more than a box of chocolate chip cookies.
\(2y = x + 3\)
Qt A :: \(x\) :: \(2y - 3\)
Subtract \(y\) from both the quantities
Qt A = \(y - 3\) & Qt B = \(0\)
We do not know the value of \(y\)
Answer \(D\)
Two boxes of chocolate chip cookies cost 6 dollars less than 4 boxes of oatmeal cookies.
\(2x = 4y - 6\)
\(x = 2y - 3\)
2 boxes of oatmeal cookies cost 3 dollars more than a box of chocolate chip cookies.
\(2y = x + 3\)
Qt A :: \(x\) :: \(2y - 3\)
Subtract \(y\) from both the quantities
Qt A = \(y - 3\) & Qt B = \(0\)
We do not know the value of \(y\)
Answer \(D\)
General Discussion
Re: Sally bought chocolate chip cookies at x dollars per box and oatmeal c
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19 May 2021, 05:32
19 May 2021, 05:32
1
Carcass wrote:
Sally bought chocolate chip cookies at x dollars per box and oatmeal cookies at y dollars per box. Two boxes of chocolate chip cookies cost 6 dollars less than 4 boxes of oatmeal cookies and 2 boxes of oatmeal cookies cost 3 dollars more than a box of chocolate chip cookies.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x |
y |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Statement 1: Two boxes of chocolate chip cookies cost 6 dollars less than 4 boxes of oatmeal cookies
2x = 4y -6
Statement 2: 2 boxes of oatmeal cookies cost 3 dollars more than a box of chocolate chip cookies.
2y = 3+x
solving for x we get x = 2y -3
multiplying by 2 on each side, 2x = 4y - 6 --> this is the same as statement 1.
So statement 2 doesn't provide any new information. We have one equation and two unknowns. Hence, the Correct Answer is Option D The relationship cannot be determined from the information given
