Carl needs to sell 96 cupcakes + 24 cupcakes = 120 cupcakes total. Each day Carl needs to sell 120 cupcakes / 2 days = 60 cupcakes to reach his goal.
The answer: 60
Reverse engineering the question: Carl has a goal of selling 96 cupcakes in 2 days. Carl needs to give 24 cupcakes to Bonnie as payment for using her storefront. How many cupcakes must Carl sell per day to reach his goal?


Reasoning and answer: Two bracelets need 50 x 2 = 100 beads. So they will need 9 x 100 = 900 beads in all.
The answer: 900
What was the question?
Question: Nine members of the crafts club are making 2 necklaces each. It takes 50 beads to make each necklace. How many beads will they need in all?


Hanna can buy $300 / $2 = 150 roses. So, Jenna will receive 1 / 3 x 150 = 50 roses. While Imma will receive 1 / 2 x 150 = 75 roses. Therefore, Hanna gives a total of 50 + 75 = 125 roses to her friends.
The answer: 125
Reverse engineering the question: Hanna has $300. She wants to buy roses at $2 each and give some of the roses to her friends, Jenna and Imma. Jenna will receive 1/3 of the roses, and Imma will receive 1/2 of the roses. How many roses does Hanna give to her friends?


Reasoning and answer: The entire radio show plays for 3 hours * 60 minutes = 180 minutes. The talking segments use 3 talking segments * 10 minutes per talking segment = 30 minutes each. The ad breaks use 5 ad breaks * 5 minutes per ad break = 25 minutes. In total, the talking segments and ad breaks use 30 + 25 = 55 minutes. This leaves 180 – 55 = 125 minutes for the radio show to play songs.
The answer: 125
What was the question?
Question: A radio show plays for 3 hours a day. They split their show into talking segments, ad breaks and songs. Talking segments last 10 minutes each, ad breaks last 5 minutes each and songs are played throughout the rest of the show. If the radio show includes 3 talking segments and 5 ad breaks in today’s show, how long, in minutes, does the show play songs?


Let V be the cost of each dress. (7 * V) + (4 * 5) = $69. So, 7 * V + 20 = $69. 7V = $49. V = $49 / 7. V = $7.
The answer: 7
Reverse engineering the question: Vanessa has decided to sell some of her clothes to make pocket money, offering a standard price for each type of item. She made a total of $69 by selling 7 dresses and 4 shirts. If she managed to sell each shirt for $5, how much did the dresses sell for each?


Kim got 6 points / round x 2 round = 12 points in the easy round. She got 2 points / round x 3 rounds = 6 points in the average round. She got 4 points / round x 5 rounds = 20 points in the difficult round. So her total points is 12 points + 6 points + 20 points = 38 points.
The answer: 38
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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The math questions in a contest are divided into three rounds: easy, average, and hard. There are corresponding points given for each round. That is 2, 3, and 5 points for every correct answer in the easy, average, and hard rounds, respectively. Suppose Kim got 6 correct answers in the easy; 2 correct answers in the average; and 4 correct answers in the difficult round, what are her total points in the contest?