Question

Rashad is having a picnic for 62 guests. He plans to serve each guest at least one hamburger. Ifeach package, p, contains eight hamburgers, wirte the inequality that could be used to determinehow many packages of hamburgers Rashad will need to buy.a. What are the key words and information needed to solve this problem? (2 points)b. Write the inequality that describes this situation. (2 points)C. How many packages of hamburgers will Rashad need to purchase to feed his guests? Work outthe problem, showing all of your work, including computation and explanation. (4 points)

Answer 1

a. What are the keywords and information needed to solve this problem?

The keywords are the words that allow us to solve the problem, So they are:

The picnic is for 62 guests

Each guest will receive at least 1 hamburger

Every package contains 8 hamburgers

b. Write the inequality that describes this situation.

Now, we can formulate an equation for the number of hamburgers H that each guest is going to receive if Radash buys p packages:

H = 8p/62

Because 8p is the number of total hamburgers and there are 62 guests.

Then, we know that H needs to be at least 1, so:

H ≥ 1

8p/62 ≥ 1

c. How many packages of hamburgers will Rashad need to purchase to feed his guests?

Then, we need to solve for p as:

Multiplying by 62 on both sides:

(8p/62)*62 ≥ 1 * 62

8p ≥ 62

Dividing by 8:

8p/8 ≥ 62/8

p ≥ 7.75

Therefore, Radash needs to buy at least 8 packages of hamburgers.

Answers:

a. The picnic is for 62 guests

Each guest will receive at least 1 hamburger

Every package contains 8 hamburgers

b. 8p/62 ≥ 1

c. At least 8 packages