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07 Oct 2024, 08:49
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Chocolate A Price: $15
Chocolate B Price: $30
A large retailer stocks two types of chocolate brands on their shelves. The store manager reviews the yearly sales data and finds that they sold twice as many units of Chocolate A as they did of Chocolate B. However, the yearly revenue generated from both types of chocolate brands was also equal.
Select the price of Chocolate A and the price of Chocolate B that are jointly consistent with this information.
Select the price of Chocolate A and the price of Chocolate B that are jointly consistent with this information.
| Chocolate A Price | Chocolate B Price | |
| $10 | ||
| $15 | ||
| $25 | ||
| $30 | ||
| $40 |
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Official Answer
Chocolate A Price: $15
Chocolate B Price: $30
07 Oct 2024, 08:49
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Official Solution:
Given that twice as many units of Chocolate A were sold as of Chocolate B, while the revenue generated from both types of chocolate brands was equal, this directly implies that the price per unit of Chocolate B was twice that of Chocolate A. So, we need to find prices for Chocolate A and Chocolate B such that the price of Chocolate B is twice that of Chocolate A. The only two numbers in this table that work are 15 and 30.
To put it algebraically, assuming that the numbers of units of Chocolate A and Chocolate B sold were 2m and m, respectively, and that the prices per unit of Chocolate A and Chocolate B were x and y, respectively, we get:
\(2m * x = m * y\)
\(2x = y\).
Therefore, we need to find such prices for Chocolate A and Chocolate B where the price of Chocolate B is twice that of Chocolate A. Only $15 for Chocolate A and $30 for Chocolate B satisfy this condition.
Correct answer:
Chocolate A Price "$15"
Chocolate B Price "$30"
Bunuel
Given that twice as many units of Chocolate A were sold as of Chocolate B, while the revenue generated from both types of chocolate brands was equal, this directly implies that the price per unit of Chocolate B was twice that of Chocolate A. So, we need to find prices for Chocolate A and Chocolate B such that the price of Chocolate B is twice that of Chocolate A. The only two numbers in this table that work are 15 and 30.
To put it algebraically, assuming that the numbers of units of Chocolate A and Chocolate B sold were 2m and m, respectively, and that the prices per unit of Chocolate A and Chocolate B were x and y, respectively, we get:
\(2m * x = m * y\)
\(2x = y\).
Therefore, we need to find such prices for Chocolate A and Chocolate B where the price of Chocolate B is twice that of Chocolate A. Only $15 for Chocolate A and $30 for Chocolate B satisfy this condition.
Correct answer:
Chocolate A Price "$15"
Chocolate B Price "$30"
31 Jan 2025, 02:51
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I have revised the question, solution, and formatting by adding more details to enhance clarity.
