Question

Members of the chorus need to raise $650 selling hoagies and pizzas. The profit they receive on each hoagie is $1.25, and $2.50 for each pizza. Find three different combinations for the numbers of each sold to raise the needed amount.

Answer 1

The task involved calculating three different combinations of hoagies and pizzas that need to be sold to reach $650 in profit, with hoagies earning $1.25 each and pizzas $2.50 each. Three possible combinations found are 200 hoagies and 160 pizzas, 100 hoagies and 210 pizzas, and 520 hoagies with no pizzas.

Step-by-step explanation:

The question requires solving a problem of finding three different combinations for the number of hoagies and pizzas sold to raise a specified amount of money. The given profits per item are $1.25 for hoagies and $2.50 for pizzas. We need to find combinations that total to $650 in profit. Let's denote the number of hoagies sold as 'h' and the number of pizzas sold as 'p'. Therefore, we have the equation:

1.25h + 2.50p = 650

Now, we need to find three sets of values for 'h' and 'p' that satisfy this equation.

• Combination 1: Selling 200 hoagies (200 * $1.25 = $250) and 160 pizzas (160 * $2.50 = $400), we get $250 + $400 = $650.
• Combination 2: If we sell 100 hoagies (100 * $1.25 = $125) and 210 pizzas (210 * $2.50 = $525), we get $125 + $525 = $650.
• Combination 3: Selling 520 hoagies (520 * $1.25 = $650) and 0 pizzas, we get $650 + $0 = $650, reaching the goal solely with hoagie sales.

These combinations demonstrate that there are multiple ways to reach the fundraising goal through different sales strategies.