Number Cards 375C54
1. **Problem a:** Choose two cards to make the sum a whole number, with the bigger number first.
2. The cards are 0.7, 4.05, 6.5, and 0.95.
3. We check pairs where the sum is a whole number:
- $6.5 + 0.7 = 7.2$ (not whole)
- $6.5 + 0.95 = 7.45$ (not whole)
- $4.05 + 0.95 = 5.0$ (whole number!)
- $4.05 + 0.7 = 4.75$ (not whole)
- $0.7 + 0.95 = 1.65$ (not whole)
4. The only pair that sums to a whole number is $4.05 + 0.95 = 5.0$.
5. Since the bigger number goes first, the answer is:
$$4.05 + 0.95 = 5$$
6. **Problem b:** Choose two cards to make the sum as large as possible.
7. The two largest cards are 6.5 and 4.05.
8. Sum them:
$$6.5 + 4.05 = 10.55$$
9. Bigger number first, so:
$$6.5 + 4.05 = 10.55$$