There were a total of 800 adults and children at a stadium. 70% of them were adults. Some adults left the stadium and the ratio of the number of adults to the number of children became 5 : 3. How many adults left the stadium?

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Worked solution

14

1. Calculate the initial number of adults and children

Initial number of adults = 70%×800=70100×800=56070\% \times 800 = \frac{70}{100} \times 800 = 560
Initial number of children = 800−560=240800 - 560 = 240

2. Use the unchanged number of children to find the new number of adults

Since only adults left, the number of children remains unchanged at 240240.
The new ratio of adults to children is 5:35 : 3.
3 units=2403 \text{ units} = 240
1 unit=240÷3=801 \text{ unit} = 240 \div 3 = 80
New number of adults = 5 units=5×80=4005 \text{ units} = 5 \times 80 = 400

3. Calculate the number of adults who left

Number of adults who left = 560−400=160560 - 400 = 160

Answer

160160 (option 3)

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