Algebra, NAP_70042
Question
Maurice finds that by wearing different combinations of the jackets, shirts and pairs of trousers that he owns, he can make up 180 different outfits. If Maurice owns 9 jackets and 2 shirts, how many pairs of trousers does he own?
Worked Solution
Let x be the number of pairs of trousers Maurice owns, then
|
|
9 × 2 × x |
= 180 |
x |
= 18180 |
|
= {{{correctAnswer}}} |
∴ Maurice owns {{{correctAnswer}}} pairs of trousers.
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
Variant 0
DifficultyLevel
662
Question
Maurice finds that by wearing different combinations of the jackets, shirts and pairs of trousers that he owns, he can make up 180 different outfits. If Maurice owns 9 jackets and 2 shirts, how many pairs of trousers does he own?
Worked Solution
Let x be the number of pairs of trousers Maurice owns, then
|
|
9 × 2 × x |
= 180 |
x |
= 18180 |
|
= 10 |
∴ Maurice owns 10 pairs of trousers.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
correctAnswer | |
Answers