Number, NAP_70057
Question
The heights of two buildings are in the ratio of 1 : 8.
If together, their height is 450 metres, how much taller is the larger building, in metres?
Worked Solution
|
|
| Total Parts in Ratio |
= 1 + 8 |
|
= 9 |
| Smaller Building's height |
= 9450 × 1 |
|
= 50 metres |
| Larger Building's height |
= 9450 × 8 |
|
= 400 metres |
|
|
| Difference in height |
= 400 − 50 |
|
= {{{correctAnswer}}} |
Therefore, the larger building is {{{correctAnswer}}} metres taller.
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
Variant 0
DifficultyLevel
580
Question
The heights of two buildings are in the ratio of 1 : 8.
If together, their height is 450 metres, how much taller is the larger building, in metres?
Worked Solution
|
|
| Total Parts in Ratio |
= 1 + 8 |
|
= 9 |
| Smaller Building's height |
= 9450 × 1 |
|
= 50 metres |
| Larger Building's height |
= 9450 × 8 |
|
= 400 metres |
|
|
| Difference in height |
= 400 − 50 |
|
= 350 |
Therefore, the larger building is 350 metres taller.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| correctAnswer | |
Answers