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It costs g cents a mile for gasoline and m cents a mile for

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by BTGmoderatorAT » Sun Oct 22, 2017 2:57 pm
It costs g cents a mile for gasoline and m cents a mile for all other costs to run a car. How many dollars will it cost to run the car for 100 miles?

(A) (g + m)/100
(B) 100g + 100m
(C) g + m
(D) g + .1m
(E) g

Can any expert explain this PS question please?
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by GMATGuruNY » Sun Oct 22, 2017 3:23 pm
ardz24 wrote:It costs g cents a mile for gasoline and m cents a mile for all other costs to run a car. How many dollars will it cost to run the car for 100 miles?

(A) (g + m)/100
(B) 100g + 100m
(C) g + m
(D) g + .1m
(E) g
Let g=200 cents, implying that the gas cost per mile = $2.
Let m=300 cents, implying that the gas cost per mile = $3.
Total cost per mile = 2+3 = $5.
Thus, the total cost for 100 miles = 100*5 = $500.

Since the question stem asks for the cost, in dollars, for 100 miles, the target value is 500.
Now plug g=200 and m=300 into the answers to see which yields the target value of 500.
Only C works:
g + m = 200+300 = 500.

The correct answer is C.
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by DavidG@VeritasPrep » Mon Oct 23, 2017 6:46 am
ardz24 wrote:It costs g cents a mile for gasoline and m cents a mile for all other costs to run a car. How many dollars will it cost to run the car for 100 miles?

(A) (g + m)/100
(B) 100g + 100m
(C) g + m
(D) g + .1m
(E) g

Can any expert explain this PS question please?
Gasoline cost: g cents/mile for 100 miles = 100g cents
Other costs: m cents/mile for 100 miles = 100m cents
Total cost: (100g + 100m) cents, or g + m dollars. (There are 100 cents in 1 dollar) The answer is C.
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by Scott@TargetTestPrep » Sun Nov 17, 2019 7:07 pm
BTGmoderatorAT wrote:It costs g cents a mile for gasoline and m cents a mile for all other costs to run a car. How many dollars will it cost to run the car for 100 miles?

(A) (g + m)/100
(B) 100g + 100m
(C) g + m
(D) g + .1m
(E) g

Can any expert explain this PS question please?
Since the total cost per mile is g + m cents or (g + m)/100 dollars, the total cost for a 100-mile trip, in dollars, is:

(g + m)/100 x 100 = g + m

Answer: C

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