The cars in a car service use a total of gallons of gasoline per week. If each of the cars uses the same amount of gasoline, then, at this rate, which of the following represents the number of gallons used by 5 of the cars in 2 weeks?
A. 10CG
B. 2G/5C
C. 5G/2C
D. G/10C
E. 10G/C
why is E correct, i do not understand the answer given by College Board for this SAT question of the day. Thank you in advance for the help!
1= 1 week for 1 car
also, the rest of the answers have bad form (magnitude then units usually)
To find the number of gallons used by 5 cars in 2 weeks, we need to find the rate at which each car uses gasoline.
Given that the cars in a car service use a total of G gallons of gasoline per week, and assuming that each car uses the same amount of gasoline, we can say that each car uses G/C gallons of gasoline per week, where C is the number of cars.
Therefore, in 2 weeks, each car would use a total of 2(G/C) gallons of gasoline. Since we have 5 cars, the total number of gallons used by 5 cars in 2 weeks can be found by multiplying the amount used by each car by the number of cars:
2(G/C) * 5 = (2G/C) * 5 = 10G/C
Hence, the correct answer is E.
To understand why option E is the correct answer, let's break down the problem and use some algebra.
The problem states that the cars in a car service use a total of G gallons of gasoline per week. We can let the number of cars be C and the number of weeks be W.
Given that each car uses the same amount of gasoline, the amount of gasoline used by one car in one week would be G/C.
Now, the question asks for the number of gallons used by 5 of the cars in 2 weeks. Let's use algebra to represent this:
Number of gallons used by 5 of the cars in 2 weeks = (G/C) * 5 * 2
Simplifying this expression:
Number of gallons used by 5 of the cars in 2 weeks = 10 * (G/C)
Comparing this expression to the answer choices, we can see that option E, 10G/C, matches our expression.
Therefore, option E represents the correct number of gallons used by 5 of the cars in 2 weeks.