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# The total fare for 2 adults and 3 children on an excursion boat is \$14

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
The total fare for 2 adults and 3 children on an excursion boat is \$14  [#permalink]

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07 Jan 2019, 10:08
00:00

Difficulty:

25% (medium)

Question Stats:

92% (00:47) correct 8% (00:57) wrong based on 32 sessions

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The total fare for 2 adults and 3 children on an excursion boat is \$14.00. If each child’s fare is one half of each adult’s fare, what is the adult fare?

A. \$2.00
B. \$3.00
C. \$3.50
D. \$4.00
E. \$4.50

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Manager
Joined: 26 Dec 2018
Posts: 142
Location: India
Re: The total fare for 2 adults and 3 children on an excursion boat is \$14  [#permalink]

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07 Jan 2019, 10:12
2a+3c = 14
c= a/2

2a + 3(a/2)= 14
4a + 3a = 28
a= 4
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Joined: 18 Aug 2017
Posts: 3879
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The total fare for 2 adults and 3 children on an excursion boat is \$14  [#permalink]

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07 Jan 2019, 10:14
Bunuel wrote:
The total fare for 2 adults and 3 children on an excursion boat is \$14.00. If each child’s fare is one half of each adult’s fare, what is the adult fare?

A. \$2.00
B. \$3.00
C. \$3.50
D. \$4.00
E. \$4.50

2x+3y=14
y=x/2
x=2y

4y+3y=14
y=2
x=4
IMO D
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VP
Joined: 31 Oct 2013
Posts: 1375
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The total fare for 2 adults and 3 children on an excursion boat is \$14  [#permalink]

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07 Jan 2019, 18:36
Bunuel wrote:
The total fare for 2 adults and 3 children on an excursion boat is \$14.00. If each child’s fare is one half of each adult’s fare, what is the adult fare?

A. \$2.00
B. \$3.00
C. \$3.50
D. \$4.00
E. \$4.50

Charge for each adult = x

charge for each child = x/2.

Total = 2x + 3*x/2 = 2x + 3x/2 = 7x/2.

7x/2 = 14

x = 4.

Re: The total fare for 2 adults and 3 children on an excursion boat is \$14   [#permalink] 07 Jan 2019, 18:36
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