A furniture shop sells a table for $150 per piece and a chair for $85 : Problem Solving (PS)

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A furniture shop sells a table for $150 per piece and a chair for $85

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Math Expert

Joined: 02 Sep 2009

Posts: 51285

A furniture shop sells a table for $150 per piece and a chair for $85 [#permalink]

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03 Oct 2018, 23:34

00:00

Difficulty:

25% (medium)

Question Stats:

95% (01:40) correct

5% (02:59) wrong

based on 20 sessions

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A furniture shop sells a table for $150 per piece and a chair for $85 per piece. Last fortnight it sold five more tables than chairs. If its total revenue from the sale of only tables and chairs last fortnight was $1925, what was the total number of tables and chairs that the shop sold last fortnight?

(A) 12
(B) 14
(C) 15
(D) 16
(E) 18

Spoiler: OA

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Joined: 19 Oct 2013

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Location: Kuwait

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Re: A furniture shop sells a table for $150 per piece and a chair for $85 [#permalink]

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03 Oct 2018, 23:51

Bunuel wrote:

T = 5 + C

1,925 = 150*T + 85*C
1,925 = 150 (5+C) + 85C

1,925 = 750 + 150C + 85C

1,175 = 235C

C = 5
T = 5 + C = 5+5 = 10

T + C = 15

Answer choice C.

Another approach would be to pick from the numbers, normally I would pick C to know if I need to move to A and B or D and E

If we pick T + C = 15
We know T = C + 5
So 2C + 5 = 15
C = 5
5*85 = 425
And 10 *150 = 1,500

1,500 + 425 = 1,925.

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