Question

2 denny is volunteering at the local homeless shelter. he is in charge of getting the ingredients for the dinner. he is using the recipe below, which serves 5 people. on a typical night, the shelter serves 25 people. how much of each ingredient will denny need to buy to ensure they have enough pot roast to serve everyone?
mississippi pot roast
ingredients

• 1 (3-4 pounds) chuck roast
• 1 packet of ranch dressing mix
• 1 packet of au jus gravy mix
• ¼ cup of butter
• 4-5 pepperoncini peppers

instructions

1. place the roast in the slow cooker and sprinkle

the top with the ranch dressing and au jus mixes.
place the peppers on top of the mixes; add the
butter.

1. cook on low heat for 8 hours. serve with

noodles, rice, or mashed potatoes.
options:

• 5 (3 – 4 pounds) chuck roasts, 5 packets of ranch dressing, 5 packets of gravy mix, 1 ¼ cups of butter, 20 – 25 peppers
• 25 (3 – 4 pounds) chuck roasts, 25 packets of ranch dressing, 25 packets of gravy mix, 25 ¼ cups of butter, 20 – 25 peppers
• ⅕ (3 – 4 pounds) chuck roast, ⅕ packet of ranch dressing, ⅕ packet of gravy mix, 1 ⅕ cups of butter, 1 – 5 peppers
• 1 (3 – 4 pounds) chuck roast, 1 packet of ranch dressing, 1 packet of gravy mix, ¼ cup of butter, 4 – 5 peppers

Explanation:

Step1: Determine the scaling factor

The recipe serves 5 people, and we need to serve 25 people. The scaling factor is $\frac{25}{5} = 5$.

Step2: Scale each ingredient

• Chuck roast: 1 (3 - 4 pounds) for 5 people, so for 25 people: $1\times5 = 5$ (3 - 4 pounds) chuck roasts.
• Ranch dressing mix: 1 packet for 5 people, so for 25 people: $1\times5 = 5$ packets.
• Au jus gravy mix: 1 packet for 5 people, so for 25 people: $1\times5 = 5$ packets.
• Butter: $\frac{1}{4}$ cup for 5 people, so for 25 people: $\frac{1}{4}\times5=\frac{5}{4}=1\frac{1}{4}$ cups.
• Pepperoncini peppers: 4 - 5 for 5 people, so for 25 people: $(4 - 5)\times5 = 20 - 25$ peppers.

Answer:

5 (3 - 4 pounds) chuck roasts, 5 packets of ranch dressing, 5 packets of gravy mix, $1\frac{1}{4}$ cups of butter, 20 - 25 peppers (the first option)