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07 Nov 2023, 09:49
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Number of ottomans required: 140
Number of junior suites: 84
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Data Insights (DI) Butler 2023-24 [Question #94, Date: Nov-07-2023] [Click here for Details]
Fran’s Furniture accepts a contract to supply furniture for a new hotel that features small suites rather than single rooms. The suites are designed in two sizes, called a junior suite and a senior suite. Under the terms of the contract, Fran’s will supply two upholstered chairs and one ottoman for each junior suite and a love seat, chair, and ottoman for each senior suite. If the contract calls for 224 chairs and 56 love seats, how many ottomans are required to fulfill the contract? How many junior suites will the hotel contain?
| Number of ottomans required | Number of junior suites | |
| 28 | ||
| 56 | ||
| 84 | ||
| 140 | ||
| 224 | ||
| 280 |
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Official Answer
Number of ottomans required: 140
Number of junior suites: 84
07 Nov 2023, 19:20
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Sajjad1994
Now, the breakdown of furniture is:
Junior suite: Two Chairs and one Ottoman
Senior suite: One Love seat, one Chair and one Ottoman
The final contract had 224 chairs and 56 love chairs.
(A) The love chairs are put up only in Senior suite one per suite. So, 56 love seats would mean there are 56 Senior suites.
(B) 56 Senior suite means 56 chairs as each senior suite has one chair but the total order is for 224 chairs, so the remaining chairs 224-56 or 168 are for Junior suite that has chairs Two per suite. Thus, number of Junior suite are 168/2 or 84.
Answers:
Number of Ottomans: 56+84 or 140 one for each suite.
Junior suite: 84
20 May 2024, 00:58
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Junior: 2 chairs (c) + 1 ottoman (m)
Senior: 1 chair (c) + 1 ottoman (m) + 1 love seat (s)
2c * junior + 1c * senior = 224
1s * senior = 56 ==> senior suites = 56
=> 2c * junior + 56 = 224
=> 2c * junior = 168
=> junior suites = 84
Total m = 56 (for junior suites) + 84 (for senior suites) = 140
Senior: 1 chair (c) + 1 ottoman (m) + 1 love seat (s)
2c * junior + 1c * senior = 224
1s * senior = 56 ==> senior suites = 56
=> 2c * junior + 56 = 224
=> 2c * junior = 168
=> junior suites = 84
Total m = 56 (for junior suites) + 84 (for senior suites) = 140
