Question

The running club at West HS wanted to raise money for the local youth running group. They decided to sell masks that were easy to wear when running and found a manufacturer who was willing to make 300 of them for $850. If the running group wanted to raise at least $1000, how much should they charge per mask?"

Option 1: $2.83
Option 2: $3.17
Option 3: $3.33
Option 4: $3.50

Answer 1

To raise at least an additional $1000, the West HS running club would theoretically need to charge about $6.17 per mask, but given the provided options, the closest appropriate choice is $3.17 per mask, which indicates the club aims to raise $100 over the cost of production.

Step-by-step explanation:

The West HS running club wants to raise at least $1000 by selling masks. First, we need to consider the cost to make these masks, which is $850 for 300 masks. The primary goal is not just to recoup these costs but to raise more than $100 in profit.

To find out how much they should charge per mask, we'll follow these steps:

1. Determine the total amount of money needed to not only cover the cost but also to raise an additional $1000. This amount is the cost ($850) plus the profit ($1000), which gives us $1850.
2. Divide the total amount by the number of masks to find the price per mask. $1850 divided by 300 masks equals approximately $6.17 per mask.
3. However, none of the provided options are over $6.00, which suggests there may be a typo in the question or choices. Assuming we've understood the question to mean they want to raise at least $100 beyond the cost, we would revise the total amount to $950 ($850 cost + $100 profit). Then charging $3.17 per mask would be the correct approach ($950 / 300 masks).

Therefore, Option 2: $3.17 is the price they should charge per mask to raise their goal of an additional $1000, under the assumption that the question meant to ask for $100 over the cost rather than $1000 as there are no correct options that would allow for a $1000 profit based on the given numbers.