Question

A caterer charges a fixed cost per party, plus an additional charge per guest. If it costs $406 to serve 32 guests and $484 to serve 45 guests, find the fixed cost and the cost per guest.

A. $86 cost, $10 per guest
B. $156 cost, $8 per guest
C. $214 cost, $6 per guest
D. $246 cost, $5 per guest

Answer 1

Equations formed will be:
Let x be fixed cost per party and y be cost per guest...

x + 32y = 406
x + 45y = 484

Then solve it for x and y..

Answer 2

A ? (:

Answer 3

@waterineyes : A ? (:

Answer 4

No, I think I am wrong in making those equations...

Answer 5

X + 32Y = 406
X = 406 - 32Y

X + 45Y = 484
X = 484 - 45Y


X = X, so:
406 - 32Y = 484 - 45Y
add 45Y to each side gets you: 406 + 13Y = 484
subtract 406 from each side: 13Y = 78
Y = 6

Put Y = 6 back into the original equations:
X + 32(6) = 406
X = 214

X + 45(6) = 484
X = 214

C is the correct answer.

Answer 6

Answer is C...

Answer 7

just look at it this way

an addtional 13 guests cost $78.00

or $6 per guest

so 406 = f + 32*6

gives the fixed cost of $214

just checking

484 = f + 45*6

f = $214

fixed cost is $214

Answer 8

Eliminate x through first equation : x = 406 - 32y

Now put it in second equation :

We get, 13y = 78

So, y = 6

and therefore x = 214..

So, fixed cost is $214 and Cost per Guest is $6...