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For a new office, Tom purchased some tables and chairs. If the total n
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08 Apr 2023, 10:24
08 Apr 2023, 10:24
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Question Stats:
87% (01:18) correct
12% (01:38) wrong based on 8 sessions
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For a new office, Tom purchased some tables and chairs. If the total number of tables and chairs purchased by Tom is 10, such that cost of each chair is $40 and cost of each table is $50, then how many chairs did he buy if his total expenditure was $440?
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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: For a new office, Tom purchased some tables and chairs. If the total n
[#permalink]
15 Apr 2023, 21:04
15 Apr 2023, 21:04
1
Expert Reply
Let's denote the number of chairs purchased by Tom as "c" and the number of tables purchased as "t", where c + t = 10 (total number of tables and chairs).
Given that the cost of each chair is $40 and the cost of each table is $50, and the total expenditure is $440, we can set up the following equation:
40c + 50t = 440 ---(1)
Now, we can solve the equation (1) for "c" by substituting the value of "t" from the equation c + t = 10:
40c + 50(10 - c) = 440
40c + 500 - 50c = 440
-10c + 500 = 440
-10c = 440 - 500
-10c = -60
c = -60 / -10
c = 6
So, the number of chairs purchased by Tom is 6.
Therefore, the correct answer is 6 chairs.
Given that the cost of each chair is $40 and the cost of each table is $50, and the total expenditure is $440, we can set up the following equation:
40c + 50t = 440 ---(1)
Now, we can solve the equation (1) for "c" by substituting the value of "t" from the equation c + t = 10:
40c + 50(10 - c) = 440
40c + 500 - 50c = 440
-10c + 500 = 440
-10c = 440 - 500
-10c = -60
c = -60 / -10
c = 6
So, the number of chairs purchased by Tom is 6.
Therefore, the correct answer is 6 chairs.
gmatclubot
Re: For a new office, Tom purchased some tables and chairs. If the total n [#permalink]
15 Apr 2023, 21:04
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