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

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V
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Posts: 49303
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0  [#permalink]

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New post 21 Aug 2018, 06:30
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

88% (01:59) correct 12% (02:40) wrong based on 26 sessions

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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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Re: At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0  [#permalink]

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New post 21 Aug 2018, 06:35
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]

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New post 21 Aug 2018, 06:37
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]

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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 &nbs [#permalink] 21 Aug 2018, 07:33
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