Part 2: Now it’s time to make the guest list! Figure out how many guests you will have at your party, and how much it will cost to feed everybody.
You have four grandparents coming. For the adults, you have your parents, your best friend’s parents, your aunt and uncle, and your two next door neighbors that have known you forever. From school you have 17 guys coming and 16 girls (You get to eat free!). Your little brother and sister (under the age of 11) are coming too and they each invited three friends. Use the variables in the table to write and simplify an algebraic expression to represent all of your guests.
Grandparents g
Adults a
Your friends f
Kids under 11 k
With all this dancing, your guests will get hungry! Everyone at a party needs to eat… With the guest list above, calculate the cost of food for everyone at the party.
Adults cost $12.50
Senior Citizens and Children under 11 cost $6.50
Teenagers cost $9.00
Grandparents would be 4G+ how many A's+ how many F's + how many K's= guests at party (P)
Food substitute letters fro menu prices
Grandparents 4G = 4 x $6.50 = $26.00
Adults
and so on...
To calculate the number of guests at your party, you will add up the number of each type of guest. Let's break it down:
1. Grandparents (g): You have four grandparents coming, so the number of grandparents is 4.
2. Adults (a): You have your parents, your best friend's parents, your aunt and uncle, and your two next-door neighbors. This totals to 1 (your parents) + 2 (best friend's parents) + 2 (aunt and uncle) + 2 (next-door neighbors) = 7 adults.
3. Your friends (f): You have a mix of boys and girls from school. You mentioned that 17 guys and 16 girls are coming. Since you specified that only girls get to eat for free, we will exclude them from the guest count. So the number of your friends is 17.
4. Kids under 11 (k): Your little brother and sister are coming, and each of them invited three friends. So the number of kids under 11 is 2 (your siblings) + (2 siblings x 3 friends each) = 8 kids.
Now, let's calculate the total number of guests at your party:
Total guests = Grandparents + Adults + Your friends + Kids under 11
Total guests = 4 + 7 + 17 + 8
Total guests = 36
So, you will have a total of 36 guests at your party.
To calculate the cost of food for everyone at the party, we need to multiply the number of guests in each category by the respective cost per person:
Cost of food for adults = Number of adults x Cost per adult = 7 x $12.50 = $87.50
Cost of food for seniors and children under 11 = (Number of grandparents + Number of kids under 11) x Cost per senior/child = (4 + 8) x $6.50 = $78.00
Cost of food for teenagers = Number of your friends x Cost per teenager = 17 x $9.00 = $153.00
Total cost of food for everyone at the party = Cost of food for adults + Cost of food for seniors and children under 11 + Cost of food for teenagers
Total cost of food = $87.50 + $78.00 + $153.00 = $318.50
So, it will cost $318.50 to feed everyone at your party.