Joey is having a party during the Major
League Soccer championship game. In order to make sure his guests are happy, he ordered the following appetizers from a nearby restaurant.
15 egg rolls
3 10-slice pizzas
120 chicken wings
30 cheese sticks
5. What is the greatest number of guests that Joey can have at the party so that each person (including Joey) gets the same amount of each appetizer with nothing left over?
---- For this I did 15+30+120+30 = 195 and because their greatest common factor is 15 is divided 15/195. There will be 13 guests coming.
6. What will each guest have to eat?
---- How do I figure this out?
7. At the last minute, Joey finds out that there will be a total of 25 guests at his party. What is the least amount of each appetizer Joey must order so that everyone gets the same amount of each appetizer with nothing left over?
Including Joey, there are 15 people at the party.
6.
15/15 = 1 egg roll
30/15 = 2 pieces of pizza
And so on.
7. I'm sure you can work this out.
I truely cant figure 7 out.
He needs:
25 egg rolls
5 pizzas
25 wings
25 cheese sticks
To figure out what each guest will have to eat (Question 6), you will need to divide the total quantity of each appetizer by the number of guests. Here's how to do it:
1. Start with the total quantity of each appetizer:
- 15 egg rolls
- 3 10-slice pizzas (which means there are a total of 3 * 10 = 30 slices of pizza)
- 120 chicken wings
- 30 cheese sticks
2. Now, add up the total number of each appetizer item:
- 15 egg rolls + 30 slices of pizza + 120 chicken wings + 30 cheese sticks = 195 total appetizers
3. Divide the total number of each appetizer by the number of guests (13 in this case):
- 15 egg rolls / 13 guests = 1 egg roll per guest
- 30 slices of pizza / 13 guests = 2 slices per guest
- 120 chicken wings / 13 guests ≈ 9 chicken wings per guest (rounded to the nearest whole number)
- 30 cheese sticks / 13 guests ≈ 2 cheese sticks per guest (rounded to the nearest whole number)
Therefore, each guest at the party will have approximately 1 egg roll, 2 slices of pizza, 9 chicken wings, and 2 cheese sticks.
Now let's move on to Question 7, to calculate the least amount of each appetizer Joey must order for 25 guests.
1. Start with the total quantity of each appetizer:
- 15 egg rolls
- 3 10-slice pizzas (30 slices of pizza)
- 120 chicken wings
- 30 cheese sticks
2. Calculate the greatest common factor (GCF) of these quantities, which will help us find the least amount to order. In this case, the GCF of 15, 30, 120, and 30 is 15.
3. Divide each quantity by the GCF to find the least amount to order for 25 guests:
- 15 egg rolls / 15 (GCF) = 1 egg roll (Joey must order at least 1)
- 30 slices of pizza / 15 (GCF) = 2 slices of pizza (Joey must order at least 2)
- 120 chicken wings / 15 (GCF) = 8 chicken wings (Joey must order at least 8)
- 30 cheese sticks / 15 (GCF) = 2 cheese sticks (Joey must order at least 2)
Therefore, Joey must order at least 1 egg roll, 2 slices of pizza, 8 chicken wings, and 2 cheese sticks for each of the 25 guests at his party.