Real life word problem

jonesmatty

New member
Joined
Apr 23, 2021
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1
We are trying to calculate how much each adult and each kid should pay for a stay at a house. We are looking for the equation, not the answer.
The price of the house will be $8000. Each kid will pay 1/2 as much as the adults. There are 16 adults and 14 kids.

Average cost = p/(a+(k/2))

Having trouble backing out price per adult and price per kid.
 

lev888

Senior Member
Joined
Jan 16, 2018
Messages
2,166
We are trying to calculate how much each adult and each kid should pay for a stay at a house. We are looking for the equation, not the answer.
The price of the house will be $8000. Each kid will pay 1/2 as much as the adults. There are 16 adults and 14 kids.

Average cost = p/(a+(k/2))

Having trouble backing out price per adult and price per kid.
Don't understand neither why you need the average cost nor the expression.
The equation:
8000=total adult cost + total kid cost
Can you complete it?
 

JeffM

Elite Member
Joined
Sep 14, 2012
Messages
6,484
\(\displaystyle 16a + 14k = 8000 \text { and } k = \frac{1}{2} * a. \)

Solve that system of equations to figure out what is due for each adult and each kid.

What that average you asked about is supposed to tell you is beyond me.
 

Jomo

Elite Member
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Dec 30, 2014
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10,568
16 + 14/2 = 23. $8000/23 = what each adult pays.

That must be one big house!
 
Last edited:

nasi112

Full Member
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Aug 23, 2020
Messages
425
\(\displaystyle 14x + 16 \cdot 2x = 8000\)

where \(\displaystyle x\) is the price that one kid will pay
 
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