Algebra, NAP_70043
Question
Steve finds that by wearing different combinations of the jackets, shirts and pairs of trousers that he owns, he can make up 240 different outfits. If he owns 6 pairs of trousers and 8 shirts, how many jackets does he own?
Worked Solution
Let x be the number of jackets Steve owns, then
|
|
6 × 8 × x |
= 240 |
x |
= 48240 |
|
= {{{correctAnswer}}} |
∴ Steve owns {{{correctAnswer}}} jackets.
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
Variant 0
DifficultyLevel
660
Question
Steve finds that by wearing different combinations of the jackets, shirts and pairs of trousers that he owns, he can make up 240 different outfits. If he owns 6 pairs of trousers and 8 shirts, how many jackets does he own?
Worked Solution
Let x be the number of jackets Steve owns, then
|
|
6 × 8 × x |
= 240 |
x |
= 48240 |
|
= 5 |
∴ Steve owns 5 jackets.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
correctAnswer | |
Answers