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# Margarita bought x identical sweaters for \$300. If each sweater cost \$

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Math Expert
Joined: 02 Sep 2009
Posts: 58452
Margarita bought x identical sweaters for \$300. If each sweater cost \$  [#permalink]

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19 Feb 2019, 03:20
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Question Stats:

83% (02:51) correct 17% (03:32) wrong based on 23 sessions

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Margarita bought x identical sweaters for \$300. If each sweater cost \$7.50 less, she could have bought x + 2 sweaters for the same amount of money. How many sweaters did she buy?

A. 6
B. 8
C. 10
D. 12
E. 14

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Joined: 31 Oct 2013
Posts: 1465
Concentration: Accounting, Finance
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WE: Analyst (Accounting)
Margarita bought x identical sweaters for \$300. If each sweater cost \$  [#permalink]

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19 Feb 2019, 03:36
Bunuel wrote:
Margarita bought x identical sweaters for \$300. If each sweater cost \$7.50 less, she could have bought x + 2 sweaters for the same amount of money. How many sweaters did she buy?

A. 6
B. 8
C. 10
D. 12
E. 14

price per sweater = 300/x

as per the directives:

(300/x - 7.50)(x + 2) = 300

(300 - 7.50x/ x) ( x + 2) = 300

i would like to put values of x from options.

Option C) 10

(300 - 75 / 10)(12) = 300

225/10 * 12 =300

45*6 = 300

270 = 45*6.

don't match.

As 10 gives us 270, we have reduce the value of x a bit.

check out option B .

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Joined: 09 Mar 2018
Posts: 994
Location: India
Re: Margarita bought x identical sweaters for \$300. If each sweater cost \$  [#permalink]

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19 Feb 2019, 04:00
Bunuel wrote:
Margarita bought x identical sweaters for \$300. If each sweater cost \$7.50 less, she could have bought x + 2 sweaters for the same amount of money. How many sweaters did she buy?

A. 6
B. 8
C. 10
D. 12
E. 14

I plugged in the values here

Start from C, so she bought 300/10, \$30 per sweater

30 -7.5 * 12 = 300, Not matching

Try B now
each sweater = 37.5 / sweater

37.5 - 7.5 * 10 = 300
Matches

B
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Re: Margarita bought x identical sweaters for \$300. If each sweater cost \$   [#permalink] 19 Feb 2019, 04:00
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