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The exact cost price to make each unit of a widget is $7.6xy7, where x and y represent single digits. What is the value

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by BTGmoderatorDC » Tue Mar 02, 2021 5:44 pm

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The exact cost price to make each unit of a widget is $7.6xy7, where x and y represent single digits. What is the value of y?

(1) When the cost is rounded to the nearest cent, it becomes $7.65.
(2) When the cost is rounded to the nearest tenth of a cent, it becomes $7.65.



OA B

Source: Veritas Prep
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Re: The exact cost price to make each unit of a widget is $7.6xy7, where x and y represent single digits. What is the va

by swerve » Fri Mar 05, 2021 8:47 am
BTGmoderatorDC wrote: ↑
Tue Mar 02, 2021 5:44 pm
 The exact cost price to make each unit of a widget is $7.6xy7, where x and y represent single digits. What is the value of y?

(1) When the cost is rounded to the nearest cent, it becomes $7.65.
(2) When the cost is rounded to the nearest tenth of a cent, it becomes $7.65.



OA B

Source: Veritas Prep
1) Tells us that \(7.6xy7\) becomes \(7.65\) when rounded to the nearest cent, \(x = 4\) or \(5.\) This can happen by y being \(1,2,3,4\) and \(x\) being \(5\), or by y being \(5,6,7,8,9\) and \(x\) being \(4.\) Not sufficient \(\Large{\color{red}\chi}\)

2) Tells us that \(7.6xy7\) becomes \(7.650,\) this can happen by \(x\) being \(4\) and \(y\) being \(9\) (since the \(7\) rounds the \(10\)th of a cent to \(0,\) this must be \(49\)). Sufficient \(\Large{\color{green}\checkmark}\)

Therefore, B
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