For each customer, a bakery charges p dollars for 1st loaf..

[fahadmuhammad86]

Im having a hard time setting up the equations for both statements, can anyone please help....thanks a tons :)

For each customer, a bakery charges p dollars for the 1st loaf of bread bought by the customer and charges q dollars for each additional loaf bought by the customer. What is the value of p?

1) A customer who buys 2 loaves is charged 10% less per loaf than a customer who buys a single loaf.
2) A customer who buys 6 loaves of bread is charged $10.

Answer is C i.e. Both statements TOGETHER are sufficient

[nitin_prakash_khanna]

Question stem tells you that p $ for 1st load and q $ for additional loaf.

1. if someone buys 2 loaf , he will be charged p+q $.
price per laof = (p+q) / 2 $

if one buys only 1 loaf then one pays only p $

St1 tells that

(p+q)/2 = (1-10%) p
p/2+q/2 = 9/10p
q=0.8 p

Cant figure out p insuffcient.

2. 6 loaves price is p+5q given as 10$
p+5q=10

Insufficent.

Together 1 & 2
p+5*0.8p = 10
p =2$

[fahadmuhammad86]

I am still a bit confused. Statement 1 says "customer who buys 2 loafs is charged 10% less per loaf" so to me that sounds like:

p+q=0.90(p+q/2)

how did you have price per loaf i.e. p+q/2=9/10p?

[nitin_prakash_khanna]

Let me attempt to expain it.

Statement 1 says
customer who buys 2 loafs is charged 10% less per loaf

So if you buy 2 loaf , how much do you pay (p+q) $
Whats your average price per loaf = (p+q) / 2 $ per loaf.

Now if you buy only one, how much per loaf you pay - its p $.

St.1 says that if you buy 2 loaf ,your price per loaf is 90% of what you buy if you buy only one, which mathematically means

(p+q) / 2 = 90% p

does it make sense?

[RonPurewal]

Let me attempt to expain it.

Statement 1 says
customer who buys 2 loafs is charged 10% less per loaf

So if you buy 2 loaf , how much do you pay (p+q) $
Whats your average price per loaf = (p+q) / 2 $ per loaf.

Now if you buy only one, how much per loaf you pay - its p $.

St.1 says that if you buy 2 loaf ,your price per loaf is 90% of what you buy if you buy only one, which mathematically means

(p+q) / 2 = 90% p

does it make sense?

this is a good explanation.