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# On a z day outdoor adventure expedition, 4 children consumed food cost

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Math Expert
Joined: 02 Sep 2009
Posts: 52344
On a z day outdoor adventure expedition, 4 children consumed food cost  [#permalink]

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03 Jan 2018, 20:18
00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:14) correct 33% (01:46) wrong based on 17 sessions

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On a z day outdoor adventure expedition, 4 children consumed food costing x dollars and supplies costing t dollars. For the same food and supply costs per child per day, what would be the total cost of food and supplies consumed by 8 children during a 10 day outdoor adventure?

A. 20(x + t)/z

B. (5x + 5t)/z

C. 32(x + t)/z

D. 20z/(x + t)

E. 20(x + z)/t

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Joined: 23 Feb 2017
Posts: 59
Re: On a z day outdoor adventure expedition, 4 children consumed food cost  [#permalink]

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03 Jan 2018, 22:06
Cost of z days for 4 children = x+t $Cost per day per children = $$\frac{(x+t)}{(4z)}$$$
cost of 8 children for 10 days = $$\frac{(x+t)}{(4Z)}$$* 8 *10= 20(x+t)/z \$

Ans A
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Intern
Joined: 08 Jul 2016
Posts: 8
Location: India
GPA: 3.4
WE: Supply Chain Management (Manufacturing)
Re: On a z day outdoor adventure expedition, 4 children consumed food cost  [#permalink]

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03 Jan 2018, 22:21
can be solved directly by using unitary method but giving detail method as below

Cost of z days for 4 children = x+t
Cost per day per children = (x+t)/(4z) (we will divide as per day, per child cost will decrease)
cost of 8 children for 10 days =( (x+t)/(4Z))* 8 *10= 20(x+t)/z (we will multiply as 10 day, 8 child cost will increase)
Intern
Joined: 28 Jul 2016
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Concentration: General Management, Marketing
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Re: On a z day outdoor adventure expedition, 4 children consumed food cost  [#permalink]

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03 Jan 2018, 22:38
A is the answer as per my understanding. This is how I solved
Z days, 4 Children, Total Food Cost(FC) X, Supply cost(SC) T = X+T
For 8 children total cost will be 2(X+T)
Now total cost for 8 Children per day will be 2(X+T)/Z
So for 10 days will be 10*2(X+T)/Z = 20(X+t)/Z

+1 Kudos if you find it useful.
Re: On a z day outdoor adventure expedition, 4 children consumed food cost &nbs [#permalink] 03 Jan 2018, 22:38
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