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17 Dec 2024, 11:00
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p: 56
q: 28
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:39) correct
22%
(02:12)
wrong
based on 466
sessions
History
Date
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Not Attempted Yet
Chair P, from Design Solutions, cost $60 per chair. Chair Q, from Seat Unlimited, costs $90 per chair. An office manager often has to buy several chairs to stock the floor space of new offices. On one occasion, she orders p of chair P, and q of chair Q. The average cost of a chair would be
average = \(\frac{60p + 90q}{p + q}\)
In the table, select a value for p and a value for q corresponding to an average cost per chair of $70. Make only two selections, one in each column.
average = \(\frac{60p + 90q}{p + q}\)
In the table, select a value for p and a value for q corresponding to an average cost per chair of $70. Make only two selections, one in each column.
| p | q | Number of chairs |
| 21 | ||
| 28 | ||
| 36 | ||
| 45 | ||
| 56 | ||
| 63 |
ShowHide Answer
Official Answer
p: 56
q: 28
17 Dec 2024, 14:37
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This is a weighted average question.
We know that (60p + 90q)/(p+q) = 70
Solving it further, we get
60p + 90q = 70p + 70q
20q = 10p
2q = p
Now, as per the options, there's just one pair of p and q that satisfies this condition, i.e., q=28 and p=56.
We know that (60p + 90q)/(p+q) = 70
Solving it further, we get
60p + 90q = 70p + 70q
20q = 10p
2q = p
Now, as per the options, there's just one pair of p and q that satisfies this condition, i.e., q=28 and p=56.
18 Dec 2024, 12:00
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1. The formula and the value for the average can be put together:
\(70 = \frac{60p + 90q}{p + q}\)
2. Since there is no other information given, we can simplify the expression.
\(70 = \frac{60p + 90q}{p + q} \rightarrow 70p + 70q = 60p + 90q \rightarrow 10p = 20q \rightarrow p = 2q\)
3. The only two answers that match a ratio of 1:2 are 28 and 56.
4. So, our answer will be: p - 28 and q - 56.
\(70 = \frac{60p + 90q}{p + q}\)
2. Since there is no other information given, we can simplify the expression.
\(70 = \frac{60p + 90q}{p + q} \rightarrow 70p + 70q = 60p + 90q \rightarrow 10p = 20q \rightarrow p = 2q\)
3. The only two answers that match a ratio of 1:2 are 28 and 56.
4. So, our answer will be: p - 28 and q - 56.
