A car dealer sold x used cars and y new cars during May. If the number

Question

A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?

(A) x > 10y
 (B) x > y + 10
 (C) x > y – 10
 (D) x = y + 10
 (E) x = y – 10

BrentGMATPrepNow · Accepted Answer

The most common INCORRECT answer is E.

Here's one way to avoid this: 
Given: x used cars and y new cars
Number of used cars (x) sold was 10 greater than the number of new cars (y) sold
So, x is 10 greater than y
To show their relative sizes let's write x LARGER than y to get:  x  and y

Our goal is to create an EQUATION. So, how do we make these two values EQUAL? 
Well, we need to make the smaller value (y) bigger. 10 bigger to be exact.

So, we get  x  = y + 10
Answer: D

Cheers,
Brent

Skywalker18 · Answer

Let number of used cars sold in May = x
number of new cars sold in May = y
x= y + 10

Answer D

milesaway · Answer

That's why I always opt for a second hand cars, I can save more dollars. You can find great quality used cars at CanadianBlackBook

Benacher07 · Answer

used cars = x
new cars = y

Sold Cars= x+y
x= y + 10

Answer D

RamonValenzuela · Answer

That's why I always opt for a second hand cars, I can save more dollars. You can find great quality used cars at other auction houses

JeffTargetTestPrep · Answer

Since the number of used cars sold was 10 greater than the number of new cars sold, we need to add 10 to the number of new cars sold to equal the number of used cars sold.

We can create the expression:

x = 10 + y

Answer: D

SUNILAA · Answer

why option c is wrong

BrentGMATPrepNow · Answer

If you can explain why you feel C is correct, it will be easier to identify the mistake you're making when solving this question.

Cheers,
Brent

SUNILAA · Answer

x(no of used car) +10( 10 greater than) >y( the number of new cars sold)
x+10>y
x=y-10

BrentGMATPrepNow · Answer

GIVEN: The number of used cars (aka x) sold was 10 greater than the number of new cars sold (aka y)
Important: words like IS and WAS can be thought of a EQUALS signs
So, we rewrite the given information as: The number of used cars (aka x) sold EQUALS 10 MORE than the number of new cars sold (aka y)
In other words, (the number of used cars sold) = (10 MORE than the number of new cars sold)
In other words, (the number of used cars sold) = (the number of new cars sold) + 10

Does that help?

Cheers,
Brent

arjunvadla · Answer

Hi Bunel,

Could you please explain, where in the STEM asks to equal the used cars to new cars? I chose the answer E but suprised after seeing the explanation and wondering where in the world, the question asks to equal used cars to new cars.

Thanks
Arjun

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A car dealer sold x used cars and y new cars during May. If the number

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A car dealer sold x used cars and y new cars during May. If the number

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