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MathNet 2006 — Part 03 Question 34

Math Olympiad Vault · MathNet 2006 — Part 03

Question 34

On a hot summer day, 64 children each ate an ice cream in the morning and another in the afternoon. The ice creams came in 4 flavors: pineapple, banana, chocolate and dulce de leche. The table below shows how many children consumed one of these flavors in the morning and another in the afternoon; for example, the number 7 in the table indicates that 7 children ate banana ice cream in the morning and chocolate ice cream in the afternoon.

| | AFTERNOON | | | | |
| :---: | :---: | :---: | :---: | :---: | :---: |
| | | Pineapple | Banana | Chocolate | Dulce de leche |
| $\mathbf{MANH\tilde{A}}$ | Pineapple | 1 | 8 | 0 | 3 |
| | Banana | 6 | 2 | 7 | 5 |
| | Chocolate | 3 | 3 | 0 | 5 |
| | Dulce de leche | 2 | 9 | 9 | 1 |

How many children ate different flavored ice creams on this day?

A) 58

B) 59

C) 60

D) 61

E) 62