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18 Jun 2026, 19:00
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C
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91% (01:19) correct
9%
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wrong
based on 74
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A community theater bought identical costume scarves for a performance. At the supplier’s sale, for every scarf bought at the regular price, the theater bought one additional scarf at half the regular price. How many scarves did the theater buy?
(1) The regular price of each scarf was $18.
(2) The theater spent $216 on the scarves.
(1) The regular price of each scarf was $18.
(2) The theater spent $216 on the scarves.
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M47-205
20 Jun 2026, 02:45
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GMAT Club Official Solution:
A community theater bought identical costume scarves for a performance. At the supplier’s sale, for every scarf bought at the regular price, the theater bought one additional scarf at half the regular price. How many scarves did the theater buy?
Let p be the regular price of one scarf. Since for every scarf bought at the regular price, one additional scarf was bought at half price, the scarves were bought in pairs. Each pair cost:
p + p/2 = 1.5p
(1) The regular price of each scarf was $18.
This tells us the cost of one pair:
18 + 9 = 27
But it does not tell us the total amount spent, so we cannot determine how many pairs were bought.
Not sufficient.
(2) The theater spent $216 on the scarves.
This gives the total amount spent, but not the regular price of one scarf, so we cannot determine how many pairs were bought.
Not sufficient.
(1)+(2) From statement (1), each pair cost 18 + 9 = 27.
From statement (2), the theater spent $216.
So the number of pairs was:
216/27 = 8
Each pair contains 2 scarves, so the number of scarves bought was:
8 * 2 = 16
Sufficient.
Answer: C.
A community theater bought identical costume scarves for a performance. At the supplier’s sale, for every scarf bought at the regular price, the theater bought one additional scarf at half the regular price. How many scarves did the theater buy?
Let p be the regular price of one scarf. Since for every scarf bought at the regular price, one additional scarf was bought at half price, the scarves were bought in pairs. Each pair cost:
p + p/2 = 1.5p
(1) The regular price of each scarf was $18.
This tells us the cost of one pair:
18 + 9 = 27
But it does not tell us the total amount spent, so we cannot determine how many pairs were bought.
Not sufficient.
(2) The theater spent $216 on the scarves.
This gives the total amount spent, but not the regular price of one scarf, so we cannot determine how many pairs were bought.
Not sufficient.
(1)+(2) From statement (1), each pair cost 18 + 9 = 27.
From statement (2), the theater spent $216.
So the number of pairs was:
216/27 = 8
Each pair contains 2 scarves, so the number of scarves bought was:
8 * 2 = 16
Sufficient.
Answer: C.
General Discussion
18 Jun 2026, 22:52
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with every scarf bought at regular price, customer bough additional one at half price.
find = total number of scarf?
say num = p
so additional p will be bought at half price.
regular price = x
half price= x/2
so,
px + p(x/2)
p (x+x/2)
p(3x/2)
we need value of p and x
s-1
x = 18
p (3*18 / 2)
27p
no idea about p.
not sufficient.
s-2
p(3x/2) =216
3px = 432
px= 144
so here there are different possible value of p and x that can get us 144.
so no single definite ans.
insufficient .
S- 1& 2
3px /2 = 216
put value of x and get p
3*p*18 = 432
p = 8
so total 16
option C
find = total number of scarf?
say num = p
so additional p will be bought at half price.
regular price = x
half price= x/2
so,
px + p(x/2)
p (x+x/2)
p(3x/2)
we need value of p and x
s-1
x = 18
p (3*18 / 2)
27p
no idea about p.
not sufficient.
s-2
p(3x/2) =216
3px = 432
px= 144
so here there are different possible value of p and x that can get us 144.
so no single definite ans.
insufficient .
S- 1& 2
3px /2 = 216
put value of x and get p
3*p*18 = 432
p = 8
so total 16
option C
Bunuel
