Official Solution: Bunuel
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 equal.
Select the price of Chocolate A and the price of Chocolate B that are jointly consistent with this information.
First of all, we are given that twice as many units of Chocolate A were sold as units of Chocolate B.
Second, the revenue generated from both chocolate brands was equal, and
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 prices for Chocolate A and Chocolate B such that the price of Chocolate B is twice that of Chocolate A. We start plugging the answer choices into the equation, and after a few trials, we realize that only $15 for Chocolate A and $30 for Chocolate B satisfy this condition.
Correct answer: Chocolate A Price
"$15"Chocolate B Price
"$30"