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Jul 04, 2022 1:00 pm
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The ratio of number shirts to dress to jackets in a box is 9 to 4 to 5, where number of dress is greater than 7. What is the number of the jackets?
(1) The total number of shirts and dress is 26.
(2) The total number of shirts and jackets is less than 30.
Are You Up For the Challenge: 700 Level Questions
(1) The total number of shirts and dress is 26.
(2) The total number of shirts and jackets is less than 30.
Are You Up For the Challenge: 700 Level Questions
Jul 07, 2022 11:51 am
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As the ratio of number shirts to dress to jackets in a box is 9 to 4 to 5, we can write that \(9x + 4x +5x =\) total items in the box.
(1) The total number of shirts and dress is 26.
\(9x+4x = 26\)
\(13x = 26\)
\(x = 2\)
Therefore there are 10 jackets in the box.
SUFFICIENT
(2) The total number of shirts and jackets is less than 30.
\(9x + 5x < 30\)
\(14x < 30\)
\(x = 1\) or \(x = 2\)
However, we are told that the number of dresses is greater than 7 and as dresses are \(4x\), x=1 cannot work. Therefore \(x=2\).
With which we find that there are 10 jackets.
SUFFICIENT
Answer D
(1) The total number of shirts and dress is 26.
\(9x+4x = 26\)
\(13x = 26\)
\(x = 2\)
Therefore there are 10 jackets in the box.
SUFFICIENT
(2) The total number of shirts and jackets is less than 30.
\(9x + 5x < 30\)
\(14x < 30\)
\(x = 1\) or \(x = 2\)
However, we are told that the number of dresses is greater than 7 and as dresses are \(4x\), x=1 cannot work. Therefore \(x=2\).
With which we find that there are 10 jackets.
SUFFICIENT
Answer D
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