Edgar was among those responsible for purchasing door prizes for his

Question

Edgar was among those responsible for purchasing door prizes for his company’s party. Edgar purchased 6 items for $10x each, y items for $30 each, and no other items. The total amount of Edgar’s door prize purchases was $600.

In the table, select the value of x and the value of that are jointly consistent with the given information. Make only two selections, one in each column.

mmdfl · Accepted Answer

how to know when "$10x" means "one hundred and x dollars" or "ten times x dollars"? What notation GMAT uses to differentiate, if any?

jatin24680 · Answer

X = 8
Y = 4

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yashikaaggarwal · Answer

Edgar was among those responsible for purchasing door prizes for his company’s party. Edgar purchased 6 items for $10x each = 6*10x
And y items for $30 each = Y*30

The total amount of Edgar’s door prize purchases was $600.
Such that,

60X + 30Y = 600
Or,
2X + Y = 20

Let's put value one by one.
A. 3 Put X = 3
=> 2X + Y = 20
=> 2(3)+y = 20
=> Y = 20-6
=> Y = 14 (not available value of Y) (Not sufficient)

B. 4 Put X = 4
=> 2X + Y = 20
=> 2(4)+y = 20
=> Y = 20-8
=> Y = 12 (not available value of Y) (Not sufficient)

C. 5 Put X = 5
=> 2X + Y = 20
=> 2(5)+y = 20
=> Y = 20-10
=> Y = 10 (not available value of Y) (Not sufficient)

D. 7 Put X = 3
=> 2X + Y = 20
=> 2(7)+y = 20
=> Y = 20-14
=> Y = 6 (not available value of Y) (Not sufficient)

E. 8 Put X = 3
=> 2X + Y = 20
=> 2(8)+y = 20
=> Y = 20-16
=> Y = 4 (Available value of Y) (Sufficient)

F. 9 Put X = 3
=> 2X + Y = 20
=> 2(9)+y = 20
=> Y = 20-18
=> Y = 2 (not available value of Y) (not Sufficient)

The only pair of X and Y available = (8&4)

X = 8 and Y = 4

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Apt0810 · Answer

Here the equation will be:

6*10x + y*30= 600
60x+30y=600
2x+y=20

Now substituting above values of X to get Y:

x=3,y=14(Not in list)
x=4,y=12(Not in list)
x=5,y=10(Not in list)
x=7,y=6(Not in list)
x=8,y=4(In list)-----Answer
x=9,y=2(Not in list)

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mSKR · Answer

60x+ 30y = 600

x= 3; y is more than 9
x= 4; y still more than 9
x= 5: y = 10 
x =8 ; y should be 4
matches

x= 8 ; y = 4

Sajjad1994 · Answer

Official Explanation OE.jpg

tarunrathi999 · Answer

even + even = 20

So we can narrow down the option to just 8/4

GMATBusters · Answer

60x+30y = 600
2x+y = 20
hence, y must be even. 
check for even value of y out of the options in the above equation to get a x out of the options.

(x,y) = (8,4)

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