The cost of deluxe hamburger and a shake is $7.00. If prices do not va

Question

Competition Mode Question

The cost of deluxe hamburger and a shake is $7.00. If prices do not vary with quantity purchased, how much does one shake cost?

(1) If the price of the shake were  \frac{1}{2}  of its present price, a shake would cost  \frac{1}{5}  of what the deluxe hamburger costs.

(2) The cost of a deluxe hamburger and 2 shakes is $9.00.

ayushkumar22941 · Answer

let the cost of a hamburger be h and that of shake be s now as according to question the cost of hamburger and shake doesnot depend on amount of the it so 2 or 3 hamburger or shakes will have same price as 1 hamburger .

from statement 1 we get (1/2)s= (1/5)h. this gives us 2nd equation so statement 1 is insufficient as we have 2 variable and 1 equation
coming to statement two as price donot depend on quantity purchsed so 2s will be equal to s so statement 2 will be insufficient .
 combining statement 1 and 2 again we have only one equation and two variable so it will be insufficient.
 thus e is the answer

freedom128 · Answer

1) S/2 = H/5 --> H=2.5*S
H+S=7 
2.5*S+S=7
S=2
SUFFICIENT

2) H+2*S=9 and H+S=7
Solving above equations, we got S=2
SUFFICIENT

FINAL ANSWER IS (D)

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Kinshook · Answer

Given: The cost of deluxe hamburger and a shake is $7.00.

Asked: If prices do not vary with quantity purchased, how much does one shake cost?

Let the cost of deluxe hamburger be DH and cost of shake be S
DH + S = 7
S = ?

(1) If the price of the shake were 1/2 of its present price, a shake would cost 1/5 of what the deluxe hamburger costs.
S' = S/2; S' = DH/5; S/2 = DH/5; S = 2DH/5; DH = 2.5S
2.5S + S = 7
S = $7/3.5 = $2
SUFFICIENT

(2) The cost of a deluxe hamburger and 2 shakes is $9.00. 
DH + 2S = 9
DH + S = 7
S = 9-7 = $2
SUFFICIENT

IMO D

yashikaaggarwal · Answer

OA is D. Either statement alone is sufficient.
For instance:
Statement 1: let cost of a deluxe hamburger be x and a shake be y.
The x+y=7------(1)
According to the statement. If the price of shake would have been half of the present price it would have been 1/5 of the hamburger price that gives 
X/5=Y/2,
Also, Y=2X/5---------(2)
Putting value in equation (1)
X+2X/5=7
7X/5=7
7X=35
X=5 and Y = 2 (7-5=Y)
(Sufficient)

Statement 2:
X+Y=7 (Given)
X+2Y=9 (Given)
Using elimination
Y=2
(Sufficient)

So OA is D, as both statement are enough alone.

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exc4libur · Answer

(1) sufic 
d+s=7
0.5s=0.2d, s=0.4d
d+0.4d=7, d=7/1.4=5
s=7-5=2

(2) sufic 
d+2s=9
d+s=7
s=2

Ans (D)

unraveled · Answer

The cost of deluxe hamburger and a shake is $7.00. If prices do not vary with quantity purchased, how much does one shake cost?

H + S = 7, S = ?

(1) If the price of the shake were  \frac{1}{2}  of its present price, a shake would cost  \frac{1}{5}  of what the deluxe hamburger costs.
 \frac{S}{2} = \frac{1}{5}*H 
S = 2, H = 5

SUFFICIENT.

(2) The cost of a deluxe hamburger and 2 shakes is $9.00.
H + 2S = 9
As H + S = 7, we can solve for variables an find S's value.
Solving gives S = 2 and H = 5

SUFFICIENT.

Answer D.

eakabuah · Answer

From the question stem, s+h=7 -----(1)
We are to determine s.
We need an expression of s in terms of h or vice versa.

(1) If the price of the shake were 1/2 of its present price, a shake would cost 1/5 of what the deluxe hamburger costs.
Basically statement 1 says: s/2=h/5 hence h=5s/2
substituting h=5s/2 into (1) yields 5s/2+2s/2=7 hence s=2. Statement is sufficient.

(2) The cost of a deluxe hamburger and 2 shakes is $9.00.
h+2s=9 ---(2)
(2)-(1) =>s=2. Statement 2 is also sufficient.

The answer is D.

Jawad001 · Answer

The cost of deluxe hamburger and a shake is $7.00. If prices do not vary with quantity purchased, how much does one shake cost?

(1) If the price of the shake were 1/2 of its present price, a shake would cost 1/5 of what the deluxe hamburger costs.

(2) The cost of a deluxe hamburger and 2 shakes is $9.00.

Solution:
Let, the present cost of deluxe hamburger and a shake be d and s 
d + s = 7……………..(1)
Required: S = ?
From statement (1), Not Sufficient.

From statement (2), 
d + 2s = 9 
Or, 7-s + 2s = 9(From equation 1)
Or, s =2, Sufficient.
Answer: B

chaitralirr · Answer

The cost of deluxe hamburger and a shake is $7.00. If prices do not vary with quantity purchased, how much does one shake cost?

(1) If the price of the shake were half of its present price, a shake would cost one fifth of what the deluxe hamburger costs.

(2) The cost of a deluxe hamburger and 2 shakes is $9.00.

Statement 1: If the price of the shake were half of its present price, a shake would cost one fifth of what the deluxe hamburger costs

Let price of hamburger be H and shake be S

S/2=1/5H Therefore S= 2/5H or H= 5/2 S

S+H= 7 So S+5/2S=7 hence S= 2

Statement 1 sufficient

Statement 2: 2S+H= 9

S+H=7
 - 2S+H= 9
Therefore S=2

Statement 2 is sufficient

IMO D both statements are sufficient

The cost of deluxe hamburger and a shake is $7.00. If prices do not va

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