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Party Poopers

Percentages and ratio worded problemsKS4 Percentages and Ratio

Problem : Party Poopers

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40% of people left the party before it ended. 10% of those who left were men. The ratio of the number of men who left to those who did not was 2:5.

If there were 105 men at the party when it started, how many women were at the party when it started?

Worked Solution

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Step 1: Share the ratio to find the number of men who left the party2 parts + 5 parts = 7 parts

7 parts = 1051 part = 15

Therefore 2 parts = 30Step 2: Calculate the number of people who left the party

Men left → 10% = 30People left → 100% = 300

Therefore, 300 people left the partyStep 3: Calculate the number of adults at the party ( by reverse percentage)

40% → 300 people1% → 7.5 people

100% → 750 peopleThere 750 people at the party

Step 4: Find the number of women750 - 105 = 645

Therefore there were 645 women at the party at the beginning

Problem 2

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40% of people left the party before it ended. 10% of those who left were men. The ratio of the number of men who left to those who did not was 3:6.

If there were 90 men at the party when it started, how many women were at the party when it started?

Problem 3

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40% of people left the party before it ended. 20% of those who left were men. The ratio of the number of men who left to those who did not was 2:3.

If there were 80 men at the party when it started, how many women were at the party when it started?

Problem 4

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20% of people left the party before it ended. 20% of those who left were men. The ratio of the number of men who left to those who did not was 5:3.

If there were 24 men at the party when it started, how many women were at the party when it started?

Problem 5

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25% of people left the party before it ended. 50% of those who left were men. The ratio of the number of men who left to those who did not was 3:2.

If there were 160 men at the party when it started, how many women were at the party when it started?

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Problem 2: 660 women at the part y at the beginningProblem 3: 320 women at the part y at the beginningProblem 4: 351 women at the part y at the beginningProblem 5: 608 women at the part y at the beginning

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