\begin{tabular}{|l} 2. $$ \begin{array}{l} ext { Mr. Vlasic needs to buy } 2 \ ext { pens each for the } 17 \ ext { students in his class. If } \ ext { pens come in packs of } 6 \ ext { and each pack costs } \$ 2.35 \ ext { what is the minimum } \ ext { amount that Mr. Vlasic must } \ ext { spend? }\end{array} $$\end{tabular}

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\begin{tabular}{|l} 2. $$ \begin{array}{l}	ext { Mr. Vlasic needs to buy } 2 \ 	ext { pens each for the } 17 \ 	ext { students in his class. If } \ 	ext { pens come in packs of } 6 \ 	ext { and each pack costs } \$ 2.35 \ 	ext { what is the minimum } \ 	ext { amount that Mr. Vlasic must } \ 	ext { spend? }\end{array} $$\end{tabular}

UpStudy AI · Accepted Answer

To determine the minimum amount that Mr. Vlasic must spend on pens, we can follow these steps:

1. **Calculate the total number of pens needed**:
   - Mr. Vlasic needs 2 pens for each of the 17 students.
   $$
   \text{Total pens needed} = 2 \times 17 = 34 \text{ pens}
   $$

2. **Determine how many packs of pens are required**:
   - Pens come in packs of 6. To find out how many packs are needed, we divide the total number of pens by the number of pens per pack and round up to the nearest whole number (since you can't buy a fraction of a pack).
   $$
   \text{Number of packs needed} = \lceil \frac{34}{6} \rceil
   $$
   - Calculating the division:
   $$
   \frac{34}{6} \approx 5.67
   $$
   - Rounding up gives us 6 packs.

3. **Calculate the total cost**:
   - Each pack costs \$2.35. Therefore, the total cost for 6 packs is:
   $$
   \text{Total cost} = 6 \times 2.35 = 14.10
   $$

Thus, the minimum amount that Mr. Vlasic must spend is $$\$14.10$$.
Mr. Vlasic needs 34 pens, so he must buy 6 packs at \$2.35 each, totaling \$14.10.

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