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primary 6 | Maths
| Percentage
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Date Posted: 6 years ago
Views: 409
Let X be the number of passengers in the train at first.
0.8X were adults, and the remaining 0.2X were children.
After 152 passengers boarded the train, there were 1.1 * 0.8X = 0.88X adults and 2.5 * 0.2X = 0.5X children.
Altogether, there are now 0.88X + 0.5X = 1.38X passengers.
The increase of 0.38X passengers must be from the 152 passengers.
0.38X = 152
X = 400
Hence, the number of passengers on the train now is 1.38X = 552.
0.8X were adults, and the remaining 0.2X were children.
After 152 passengers boarded the train, there were 1.1 * 0.8X = 0.88X adults and 2.5 * 0.2X = 0.5X children.
Altogether, there are now 0.88X + 0.5X = 1.38X passengers.
The increase of 0.38X passengers must be from the 152 passengers.
0.38X = 152
X = 400
Hence, the number of passengers on the train now is 1.38X = 552.
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