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

Question

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

generis · Answer

Algebra

\frac{gCents}{1mi} +\frac{mCents}{1mi} = \frac{(g+m)Cents}{1mi}

\frac{(g+m)Cents}{1mi}*100 miles * \frac{1dollar}{100cents}=

(g + m)   dollars

Answer C

Choose values

Let g = 2 cents
Let m = 2 cents
It costs 2 + 2 = 4 cents per mile to run the car

\frac{(4)Cents}{1mi}*100 miles = 400 cents

How many dollars?

400 cents *\frac{1dollar}{100cents}=  4 dollars

Using g = 2, m = 2, I need the choice that yields 4 as answer, because the question prompt includes the dollars:

(A) (g + m)/100 = 4/100. NO

(B) 100g + 100m = 400 + 400. NO

(C) g + m = 2 + 2 = 4. MATCH

(D) g + .1m = 2 + .2 = 2.2 NO

(E) g = 2. NO

Answer C

varun4s · Answer

1 mile= g cents (For gasoline)
100 mile= 100g cents------(1)

1 mile= m cents (For gasoline)
100 mile= 100m cents------(2)

Add (1) and (2)

Total cost= 100g+ 100m cents= 100(g+m)cents

Now 1 cents=  \frac{1}{100}  dollar

100(g+m) cents= 100(g+m)cents* \frac{1}{100}

= (g+m) cents

Answer: C.

anhht13 · Answer

Costs for 1 mile = g + m (cents)
=> costs for 100 miles = 100 * (g +m) cents
1 dollar = 100 cents
Hence, total cost IN DOLLAR = 100(g+m)/ 100 = g+m => answer C.

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Kindly press Kudos if the explanation is clear.

Thank you

generis · Answer

varun4s  , I think you mean (g + m)   dollars  ?

The question asks for dollars.

100(g+m)cents, then

100(g+m) cents * \frac{1 dollar}{100 cents}

The units "cents" cancel. Dollars are left.

Siva2021 · Answer

IMO Option C.

Total costs for 1 mile= g+m/100
total costs for 100 miles= g+m
Please give me kudos. I need them badly to unlock gmatclub tests.

ScottTargetTestPrep · Answer

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

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

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

Prep Toolkit

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