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On a z day hiking trip, 4 children consumed food costing x dollars.

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On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 07 Sep 2017, 22:28
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On a z day hiking trip, 4 children consumed food costing x dollars. For the same food costs per child per day, what would be the total cost of food consumed by 7 children during a 5 day hiking trip in terms of x and z?


A. 4z/(35x)

B. 140z/x

C. 140x/z

D. 28x/(5z)

E. 35x/(4z)

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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 07 Sep 2017, 22:36
Bunuel wrote:
On a z day hiking trip, 4 children consumed food costing x dollars. For the same food costs per child per day, what would be the total cost of food consumed by 7 children during a 5 day hiking trip in terms of x and z?


A. 4z/(35x)

B. 140z/x

C. 140x/z

D. 28x/(5z)

E. 35x/(4z)


4 C + Z D = X $
7 C + 5 D = ?? $

1 C + Z D = X/4 $
1 C + 1 D = X/4Z $
7 C + 1 D = 7X/4Z $
7 C + 5 D = 35X/4Z $

E
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On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 08 Sep 2017, 09:30
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Bunuel wrote:
On a z day hiking trip, 4 children consumed food costing x dollars. For the same food costs per child per day, what would be the total cost of food consumed by 7 children during a 5 day hiking trip in terms of x and z?

A. 4z/(35x)

B. 140z/x

C. 140x/z

D. 28x/(5z)

E. 35x/(4z)

Divide total cost by number of children and by # of days, because we need cost of food per child per day from the first scenario to set up the equation for the second scenario.

First scenario:

\(\frac{Total Cost}{#ofDays}\) = how many dollars are available for each day, then

\(\frac{Amt.One Day}{# children}\) = amt. for 1 child for 1 day

Combine them:

Total dollars_______
(# days) * (# children)

x = total dollars for
z = # of days and
4 = # of children

Cost per child per day =

Total dollars (x)____
(z days) * (4 children)

\(\frac{x}{4z}\) = cost per child per day

Second scenario: Total cost (just reverse operations from first scenario) =

(cost per child per day) * (# of days) * (# of children)

So for 5 days and 7 children

\(\frac{x}{4z}\) * 5 * 7 =

\(\frac{35x}{4z}\)

ANSWER E
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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 10 Sep 2017, 19:46
Bunuel wrote:
On a z day hiking trip, 4 children consumed food costing x dollars. For the same food costs per child per day, what would be the total cost of food consumed by 7 children during a 5 day hiking trip in terms of x and z?


A. 4z/(35x)

B. 140z/x

C. 140x/z

D. 28x/(5z)

E. 35x/(4z)


For z days , total cost for 4 children =x;
For 1 day per child , cost = x/4z;

For 7 children ,cost of food for 5 days = 5*7* x/4z= 35x/4z;

Ans:E
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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 14 Sep 2017, 09:41
Bunuel wrote:
On a z day hiking trip, 4 children consumed food costing x dollars. For the same food costs per child per day, what would be the total cost of food consumed by 7 children during a 5 day hiking trip in terms of x and z?


A. 4z/(35x)

B. 140z/x

C. 140x/z

D. 28x/(5z)

E. 35x/(4z)


For the z-day hiking trip, the cost of food per child per day is (x/4)/z = x/(4z). Thus, the total cost of food for 7 children during a 5-day trip is x/(4z) * 7 * 5 = 35x/(4z).

Answer: E
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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 09 Nov 2017, 13:45
4 children - x dollars - Z days

1 child -\(\frac{x}{4}\) dollars - Z days

1 child -\(\frac{x}{4Z}\) dollars - 1 day.

Rate of each child = \(\frac{x}{4z}\) dollars/day.

For 7 children = \(\frac{7x}{4z}\) dollars/day

For 5 days = \(\frac{35x}{4z}\) dollars.

Answer is E.
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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 09 Nov 2017, 21:47
If we plugin nos we get 2 answers.
Let z=4 days,y=4 no of children and cost of food=16 dollars
Cost per child=16/4X4=1 dollar

2nd case =1X7X5=35

If we plugin above we get B & D as the correct answer.
My question to the experts is that can we get such kind of questions?
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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 11 Nov 2017, 14:56
Bunuel wrote:
On a z day hiking trip, 4 children consumed food costing x dollars. For the same food costs per child per day, what would be the total cost of food consumed by 7 children during a 5 day hiking trip in terms of x and z?


A. 4z/(35x)

B. 140z/x

C. 140x/z

D. 28x/(5z)

E. 35x/(4z)


say, cost = c

4z / x = (7*5) / c

or, c = 35x / 4z

thanks
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Re: On a z day hiking trip, 4 children consumed food costing x dollars.  [#permalink]

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New post 26 Nov 2017, 04:48
4 children consumed food worth x amt of money for z days.

7 children would consume (7 * x/4) for z days.
For a 5 day hiking trip, they would consume (5/z * 7x/4) = 35x/4z

Option C.
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Re: On a z day hiking trip, 4 children consumed food costing x dollars. &nbs [#permalink] 26 Nov 2017, 04:48
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