1. **State the problem:** We have a Venn diagram showing guests who had ice cream, custard, both, or neither at a wedding. The numbers are:
- Ice Cream only: 51
- Custard only: 34
- Both Ice Cream and Custard: 9
- Neither: 13
We need to find:
(a) How many guests had custard?
(b) How many guests had both ice cream and custard?
(c) How many guests went to the wedding?
2. **Formula and rules:**
- Total who had custard = Custard only + Both
- Total guests = Ice Cream only + Custard only + Both + Neither
3. **Calculate (a) number of guests who had custard:**
$$\text{Custard} = 34 + 9 = 43$$
4. **Calculate (b) number of guests who had both ice cream and custard:**
Given directly as $$9$$.
5. **Calculate (c) total number of guests:**
$$\text{Total} = 51 + 34 + 9 + 13 = 107$$
**Final answers:**
(a) 43
(b) 9
(c) 107
Wedding Venn D55F73
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