A total of 300 League of Legends players bought champion skins on

Question

A total of 300 League of Legends players bought champion skins on platform yesterday. If these players bought a total of 600 skins, how many of them bought only 1 skin?

(1) None of the players bought more than 3 skins.
(2) 80 of the players bought only 2 skins each.

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ManifestDreamMBA · Answer

P = 300
S = 600

Statement 1
None of the players bought more than 3 skins
So it could be 1,2 or 3 skins per player
But this doesn't tell us how many players bought only 1
Insufficient

Statement 2
80 of the players bought only 2 skins each
But this doesn't tell us how many were bought by these players, i.e. 1 or 2 or 3 or 4...
Insufficient

Combined
Players who bought only 1 be x and players who bought 3 be y
x + y = 300-80 = 240 (players who bought 1 or 3 skins)
x + 3y = 600-3*80 = 360
Solving these we can calculate the value of x
Sufficient

Answer C

Rohit_842 · Answer

I believe the answer is C. However when combining both statements your second equation should be x + 3y and y should denote people with 3 skins

ManifestDreamMBA · Answer

Yup, you are right! There's was a typo there in the eqn 2. However the answer remains the same. Fixed it to avoid confusion.

Note: Once you have the equations, you don't need to worry about the actual calculation(unless the equations are equivalent or conflicting) since it's a DS question.

Dereno · Answer

On the First glance I thought 0 skins bought by some might be a choice too. But, after careful reading concluded that - A total of 300 league of legends bought 600 skins. So,  at least 1 skin is bought by each player.

we have two equations

B1+B2+ B3 = 300

B1+ 2 B2 + 3 B3 = 600

Let’s look into the statements individually.

STATEMENT 1:

(1) None of the players bought more than 3 skins.

So, maximum 3 skins are bought. Not sufficient.

STATEMENT 2:

(2) 80 of the players bought only 2 skins each.

given B2 = 80. Hence values of B3 or B1 is not given. Not sufficient.

Combining statements 1 and 2, we get

B1+80+ B3 = 300

B1+ 2 *80 + 3 B3 = 600

B1 + B3 = 220

B1 + 3 B3 = 440

solving it we get B1 = B3 = 110. Hence  SUFFICIENT.

OPTION C

NextstopISB · Answer

B1 + B2 + B3 = 300 — (1) 
B1 + 2·B2 + 3·B3 = 600 — (2) 
We are asked to find B1.

Statement (1): 
None bought more than 3 skins. 
But we already assumed max is 3 skins per player — this adds no new information. 
So still two equations, three unknowns → Not sufficient.

Statement (2): 
80 players bought only 2 skins → B2 = 80

Substitute into equations: 
From (1): B1 + 80 + B3 = 300 → B1 + B3 = 220 — (3) 
From (2): B1 + 160 + 3·B3 = 600 → B1 + 3·B3 = 440 — (4)

Subtract (3) from (4): 
(B1 + 3·B3) - (B1 + B3) = 440 - 220 
→ 2·B3 = 220 → B3 = 110 
→ B1 = 220 - 110 = 110

So we can solve for B1 using Statement (2) alone.

Statement (2) alone is sufficient.

Final Answer: B

stne · Answer

For statement (2) You assumed that only  1, 2   or  3  skins can be bought. That is not necessarily the case.

Consider these :

10*23 +210*1 +80*2 = 600

110*3 +110*1+80*2 = 600

Hence statement (2) is INSUFF.

Hope it helped.

A total of 300 League of Legends players bought champion skins on

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A total of 300 League of Legends players bought champion skins on

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