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A furniture shop sells a table for $150 per piece and a chair for $85
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01 Feb 2024, 06:38
01 Feb 2024, 06:38
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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 5 more tables than chairs. If its total revenue from the sale of only tables and chairs last fortnight was $1,925, 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
(A) 12
(B) 14
(C) 15
(D) 16
(E) 18
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Re: A furniture shop sells a table for $150 per piece and a chair for $85
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01 Feb 2024, 14:57
01 Feb 2024, 14:57
1
Let t = number of tables sold and c = number of chairs sold
The price of a table is $150, so the revenue from selling tables = 150t
The price of a chair is $85, so the revenue from selling chairs = 85c
Total revenue = 150t + 85c = 1925
The number of tables sold is 5 more than the numbers of chairs sold, so t = 5 + c
Replace t with (5+c) into the total revenue equation:
150(5+c) + 85c = 1925
750 + 150c + 85c = 1925
235c = 1175
c = 5
t = 10
c+t = 15
The price of a table is $150, so the revenue from selling tables = 150t
The price of a chair is $85, so the revenue from selling chairs = 85c
Total revenue = 150t + 85c = 1925
The number of tables sold is 5 more than the numbers of chairs sold, so t = 5 + c
Replace t with (5+c) into the total revenue equation:
150(5+c) + 85c = 1925
750 + 150c + 85c = 1925
235c = 1175
c = 5
t = 10
c+t = 15
gmatclubot
Re: A furniture shop sells a table for $150 per piece and a chair for $85 [#permalink]
01 Feb 2024, 14:57
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