Cynthia, annie,and suz went to pepe's pizza palace for dinner. they shared a large pizza and each girl ordered
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Cynthia, annie,and suz went to pepe's pizza palace for dinner. they shared a large pizza and each girl ordered

[From: ] [author: ] [Date: 12-01-27] [Hit: ]
extra: A medium soda costs 25 cents more than a small, and a large soda cost 25 cents more than a medium. The cost of the sodas made up one-seventh of the total bill.Figure te cost of each girls meal. Whose estimated cost was the closest to her actual cost?-This is a bit tricky,......
Cynthia, annie,and suz went to pepe's pizza palace for dinner. they shared a large pizza and each girl ordered?
a soda. When the bill came they talked about how to slit it up. Annie, you had 3 slices and a medium soda so you should pay one-third of te bill. I'll chip in a dollar more than that, replied Annie.And since you had only 2 slices and also ordered a small soda, you should pay 20% of the bill.Cynthia said I ate 3 slices and had a large soda so I'll pay the remaining $8.80. BHow much was the total bill for the pizza and th 3 sodas and how much did each girl pay.
extra: A medium soda costs 25 cents more than a small, and a large soda cost 25 cents more than a medium. The cost of the sodas made up one-seventh of the total bill.
Figure te cost of each girl's meal. Whose estimated cost was the closest to her actual cost?

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This is a bit tricky, so we'll break it down first:
C, A, and S are our characters.
They ate 1 pizza, and each character had one more soda

A: 3 slices and medium soda ==> 1/3 of charges + 1
S: 2 slics and large ==> 20% of charges
C: 3 slices and large --> 8.80 is left.

Sodas:
M is 0.25 more than the S
L is 0.25 more than the M

All sodas bought were 1/7 of the charges

What is the total cost for the food and how much did each girl pay?

So
We can say, if X is the total cost of the meal (sodas and pizza)
1/3x + 0.2x + 1 + 8.8 = x
X = 21 dollars.

So, A payed 8 dollars (1/3*21 + 1)
S payed 4.20 dollars (20% of 21)
and C payed 8.80 dollars.

Alright, now for the sodas:
The sodas were 1 seventh of the total bill, which was 21 dollars.
So, the sodas, collectively, were 3 dollars.

We can say that the S costs Y
The M costs Y+0.25
The L costs Y=0.50

One of each soda, so it's Y+Y+0.25+Y+0.50 = 3
Solved, Y = 0.75
So, S=0.75, M=1.00, L=1.25

I'm sorry, I'm not sure what you mean by "Whose estimated cost was the closest to her actual cost?"
These figures are exact, and each girl paid exactly this amount.
Here's the summary:

Total meal (Pizza and Sodas): $21.00
Annie paid: $8.00
Suz paid: $4.20
Cynthia paid: $8.80
Small Soda: $0.75
Medium Soda: $1.00
Large Soda: $1.25
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