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At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0

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Bunuel
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At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   21 Aug 2018, 06:30
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At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar?

A. 0.53
B. 0.59
C. 0.63
D. 0.67
E. 0.71
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BrentGMATPrepNow
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At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   01 Dec 2021, 08:09
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Bunuel wrote:
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar?

A. $0.53
B. $0.59
C. $0.63
D. $0.67
E. $0.71


We can solve this question using three variables or one variable.
Since the other posters used three variables, let's use one variable.

We're asked to find the cost of one chocolate bar.
So, let's let c = the cost of one chocolate bar (in dollars)

The total cost of 1 chocolate bar and 1 lollipop is $0.92.
So, the cost of 1 lollipop = $0.92 - (the cost of 1 chocolate bar)
In other words, the cost of 1 lollipop = 0.92 - c

The total cost of 1 gumball and 1 lollipop is $0.74.
So, the cost of 1 gumball = $0.74 - (the cost of 1 lollipop )
In other words, the cost of 1 gumball = 0.74 - (0.92 - c)
Simplify to get: the cost of 1 gumball = c - 0.18

The total cost of 1 gumball and 1 chocolate bar is $1.24
We can write: (c - 0.18) + (c) = 1.24
Simplify: 2c - 0.18 = 1.24
Add 0.18 to both sides: 2c = 1.42
Solve: c = 1.42/2 = 0.71

Answer: E
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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   21 Aug 2018, 06:35
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Bunuel wrote:
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar?

A. 0.53
B. 0.59
C. 0.63
D. 0.67
E. 0.71


Let the cost of a gumball be G, the cost of a chocolate bar be C, and the cost of a lollipop be L

From the question stem, we can form the three equations,
G + L = 74 | C + L = 92 | G + C = 124
Adding the three, we get 2(G + L + C) = 124 + 74 + 92 = 290 -> G + L + C = 145

Since we need the cost of a chocolate bar, we need to reduce the cost of the lollipop and gumball.

Therefore, the cost of one chocolate bar is 145 - 74 = 71 cents or 0.71$(Option E)
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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   21 Aug 2018, 06:37
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1G + 1L = $0.74.....(1)
1C + 1L = $0.92.....(2)
1G +1C = $1.24......(3)

Subtracting 1 from 2 gives 1C - 1G = $0.18
Adding this to 3 gives 2C = $1.42
Or 1C = $0.71

E is the answer.
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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   21 Aug 2018, 07:33
Bunuel wrote:
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar?

A. 0.53
B. 0.59
C. 0.63
D. 0.67
E. 0.71


\(g + l = 0.74\)
\(c + l = 0.92\)
\(g + c = 1.24\)

Add the 3 equations -

\(2g + 2c + 2l = 2.9\)

Or, \(g + c + l = 1.45\)

Now, subtract -

\(c = ( g + c + l ) - ( g + l )\)

Or, \(c = 1.45 - 0.74\)

Or, \(c = 0.71\), Answer must be (E)
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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   25 Jul 2020, 14:22
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Bunuel wrote:
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. What is the cost in dollars of 1 chocolate bar?

A. 0.53
B. 0.59
C. 0.63
D. 0.67
E. 0.71


Solution:

Let G, L and C be the cost of 1 gumball, 1 lollipop and 1 chocolate bar, respectively. We can create the equations:

G + L = 0.74

C + L = 0.92

and

G + C = 1.24

Adding the 3 equations together, we have:

2G + 2L + 2C = 2.9

G + L + C = 1.45

Since G + L = 0.74, we have


0.74 + C = 1.45

C = 0.71

Answer: E
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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink] New post   24 Nov 2023, 00:06
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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0 [#permalink]
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