Lily needs 80 tiles for a floor. The tiles are sold in boxes of 12 13a How many boxes must Lily buy? Show all your working.

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To determine how many boxes of tiles Lily needs to buy, let's break down the problem step by step.

### Given:
- **Total tiles needed**: 80
- **Tiles per box**: 12

### Step 1: Divide the Total Tiles by Tiles per Box
First, divide the total number of tiles needed by the number of tiles in one box to find out how many full boxes Lily would need.

$$
\text{Number of boxes} = \frac{\text{Total tiles needed}}{\text{Tiles per box}} = \frac{80}{12}
$$

$$
\text{Number of boxes} = 6.\overline{6}
$$

### Step 2: Interpret the Result
The division results in approximately **6.67** boxes. However, Lily cannot purchase a fraction of a box.

### Step 3: Round Up to the Nearest Whole Number
Since Lily can't buy a partial box, she needs to round up to ensure she has enough tiles.

$$
\text{Number of boxes to buy} = 7
$$

### Conclusion:
**Lily must buy 7 boxes of tiles** to have at least 80 tiles for her floor.

### Verification:
- **6 boxes**: $$6 \times 12 = 72$$ tiles (Not enough)
- **7 boxes**: $$7 \times 12 = 84$$ tiles (Provides 4 extra tiles)

Thus, purchasing 7 boxes ensures Lily has enough tiles for her floor.
Lily needs to buy 7 boxes of tiles to have enough for her floor.

Lily needs 80 tiles for a floor. The tiles are sold in boxes of 12 13a How many boxes must Lily buy? Show all your working.

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