Total amount collected from an officer for a charity cause was $250. I

Question

Total amount collected from an officer for a charity cause was $250. If each employee contributed either $20 or $25, how many employees contributed $20?

(1) The number of employees in the office is 11.
(2) The number of employees who gave $25 was 1 more than the number of employees who gave $20.

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ManifestDreamMBA · Answer

Let employees who contributed 20 be x and who contributed 25 be y
20x+25y = 250 => 4x + 5y = 50 - (1)

x= ?

Statement 1
x+y = 11
Using eqn 1, 
4x + 5y = 50
We have 2 statements, we can solve for x
Suffcient

Statement 2
y = x+1
Using eqn 1, 
4x + 5y = 50
We have 2 statements, we can solve for x
Suffcient

Answer D

HarshavardhanR · Answer

GMAT-Club-Forum-qfxnzh3o.png An approach that involves finding the set of possible solutions for (a,b) from the given information before going to the statements. The answer should be choice D. --- Harsha

Dereno · Answer

Total amount collected for charity cause is $ 250.

If the amount denominations are in $20 and $25 respectively.

we need to find :  How many of them contributed $20. ?

lets analyse individual statements.

STATEMENT 1:

(1) The number of employees in the office is 11.

Let  x  be the number of people who contributed $20, then the ppl who contributed $ 25 is  11-x.

20 x + 25 * (11-x) = 250 
 
solving it, we get  x = 5.

# $20 = 5 and # $25 = 6.  SUFFICIENT

STATEMENT 2: 
  
(2) The number of employees who gave $25 was 1 more than the number of employees who gave $20.

Let  x  be the number of people who contributed $20,

Then, the number of ppl who contributed $25 is  x+1

20 x + 25 * (x+1) =250
 
solving we get  x =5
 
# $20 = 5 and # $25 = 6.  SUFFICIENT

Option D

Abhiswarup · Answer

Total amount contributed = 250 dollar
No. of persons contributed 20 dollar = x
No. of persons contributed 25 dollar = y

Statement 1
Total no of persons =11
20x+25y=250
x+y=11
solving x=5, y=6
statement 1 is sufficeint

Statement 2
y=x+1
20x+25y=250
solving we get x=5,y=6

Statement 2 is sufficient.

Both 1 & 2 are sufficient.

Answer is D.

Total amount collected from an officer for a charity cause was $250. I

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GMAT Data Sufficiency (DS) Questions

Total amount collected from an officer for a charity cause was $250. I

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