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