Ruhanika is organising a party for 480 people and needs disposable glasses and straws. There are 40 glasses in a pack and 160 straws in a pack. She needs exactly the same number of glasses and straws. What s the minimum number of each pack she must buy?

Options

A. 14 packs of glasses and 12 packs of straws
B. 15 packs of glasses and 3 packs of straws
C. 14 packs of glasses and 11 packs of straws
D. 12 packs of glasses and 3 packs of straws

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the total number of glasses and straws needed
Ruhanika is organizing a party for 480 people. Since she needs exactly the same number of glasses and straws, we will need 480 glasses and 480 straws.

### Step 2: Calculate the number of packs of glasses needed
Each pack of glasses contains 40 glasses. To find out how many packs of glasses Ruhanika needs, we can use the formula:

\[ \text{Number of packs of glasses} = \frac{\text{Total number of glasses}}{\text{Number of glasses in one pack}} = \frac{480}{40} \]

Calculating this gives:

\[ \frac{480}{40} = 12 \]

So, Ruhanika needs **12 packs of glasses**.

### Step 3: Calculate the number of packs of straws needed
Each pack of straws contains 160 straws. To find out how many packs of straws Ruhanika needs, we can use the formula:

\[ \text{Number of packs of straws} = \frac{\text{Total number of straws}}{\text{Number of straws in one pack}} = \frac{480}{160} \]

Calculating this gives:

\[ \frac{480}{160} = 3 \]

So, Ruhanika needs **3 packs of straws**.

### Conclusion
Ruhanika must buy **12 packs of glasses** and **3 packs of straws**.

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