Andra, Elif, and Grady each invested in a certain stock. Andra investe

Question

Andra, Elif, and Grady each invested in a certain stock. Andra invested  q  dollars, which was  40 % more than Elif invested. If Elif invested  25 % less than Grady invested, what was the total amount invested by all three, in terms of  q ?
(A)  2q  
(B)  \frac{41q}{20} 
(C)  \frac{12q}{5} 
(D)  \frac{18q}{7} 
(E)  \frac{8q}{3}

Ravixxx · Accepted Answer

You should pick smart numbers.

Suppose:
Grady = 100
Elif = 75% of 100 = 75
Andra = Elif + 40 % = 75+30 = 105 (Q)

Total = 280

Plug in Q = 105 in the answer choices.
The objective is to find 280

(A) 2q=2(105) = 210 NO
(B) 41/20(105) = not an integer. 
(C) 12/5(105) = 12(21) = 252 too little
(D) 18/7(105) = (18)(15)=270 too little
(E) 8/3(105) = (8)(35) = 280 CORRECT.

ANSWER E
 
Kudos if you appreciate

ArunSharma12 · Answer

A =  \frac{21*x}{20}  = q
E =  \frac{3*x}{4} 
G = x

total amount =  \frac{21*x}{20}+\frac{3*x}{4}+ x  =  \frac{14*x}{5}  =  \frac{8*q}{3} 
Ans: E

Farina · Answer

I didnt understand the answer explanation

ScottTargetTestPrep · Answer

We can let E = the amount Elif invested and G = the amount Grady invested. We can create the equations:

q = 1.4E

q/1.4 = E

10q/14 = E

5q/7 = E

and

5q/7 = 0.75G

5q/7 = 3G/4

20q/7 = 3G

20q/21 = G

So, the total invested is:

q + 5q/7 + 20q/21

21q/21 + 15q/21 + 20q/21 = 56q/21 = 8q/3

Answer: E

rishab0507 · Answer

Picking up smart numbers and always starting from person where it all started. Here it started with G, So we should first read complete statement rather than start assigning numbers as we go through statement.
take G= 200
E =25% less than G =150
A = 40% more than E = 150+40% =210 
total 560 where Q =210

Put value of Q in answers, to get 560. Only E gives this .

Answer E

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Andra, Elif, and Grady each invested in a certain stock. Andra investe

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