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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It costs g cents a mile for gasoline and m cents a mile for
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BTGmoderatorAT
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Let g=200 cents, implying that the gas cost per mile = $2.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 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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Gasoline cost: g cents/mile for 100 miles = 100g centsardz24 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?
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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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: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?
(g + m)/100 x 100 = g + m
Answer: C
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