**At a party, only 4/9 of the invited guests came. The ratio of the number of women to the number of men present was 3 : 4. If 80 more men turned up for the party, the number of men would be twice the number of women. How many guests were invited?**

**Solution**

Before 80 more men turned up

Women : Men

3 : 4

After 80 more men turned up

Women : Men

3 : 6

There was an increase of 2 units for men

2 units --> 80 (men)

1 unit --> 80 divided by 2 = 40

Total present at the party before 80 more men turned up

7 units --> 280

4/9 of invited guests --> 280

1/9 --> 280 divided by 4 = 70

All invited guests

9/9 --> 9 x 70 = 630

**Answer: 630 guests**

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