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# Last month, a certain manufacturer sold a total of 1,000 units of its

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Intern
Joined: 14 Sep 2017
Posts: 34
Location: Italy
Last month, a certain manufacturer sold a total of 1,000 units of its [#permalink]

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27 Nov 2017, 14:46
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Difficulty:

35% (medium)

Question Stats:

70% (01:19) correct 30% (01:21) wrong based on 23 sessions

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Last month, a certain manufacturer sold a total of 1,000 units of its two products, A and B. The selling price of each unit of product A was $1,500, and the selling price of each unit of product B was$2,000. How many units of product A did the manufacturer sell last month?

1) Last month, the manufacturer's total revenue from the sale of units of products A and B was $1,600,000. 2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B. [Reveal] Spoiler: OA Math Expert Joined: 02 Aug 2009 Posts: 5727 Re: Last month, a certain manufacturer sold a total of 1,000 units of its [#permalink] ### Show Tags 27 Nov 2017, 19:15 Fedemaravilla wrote: Last month, a certain manufacturer sold a total of 1,000 units of its two products, A and B. The selling price of each unit of product A was$1,500, and the selling price of each unit of product B was $2,000. How many units of product A did the manufacturer sell last month? 1) Last month, the manufacturer's total revenue from the sale of units of products A and B was$ 1,600,000.
2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B.

convert each into an equation, if number of products of A is a and of B is b..

Quote:
a certain manufacturer sold a total of 1,000 units of its two products, A and B.

$$a+b=1000$$.....(i)

1) Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000.
price of a and b is given..
so $$1500a+2000b = 1600000$$.....(ii)
TWO equations i and ii, TWO variables a and b...Can be solved
suff

2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B
so $$1500a = 2000b$$
again TWO equations i and ii, TWO variables a and b...Can be solved
suff

D
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Re: Last month, a certain manufacturer sold a total of 1,000 units of its   [#permalink] 27 Nov 2017, 19:15
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