[Question]Erica lives near a lake where most locals sell fish as their main source of income, earning $20 per kg of fish. She goes out fishing today and catches twice as many fish as she caught in total in the past four months. If Erica trawled 80 kg of fish in the past four months, not including today, how much money will she have earned in the past four months including today (assuming she sells all her fish)?
[Answer]In the past four months, not including today, Erica has 80 kg * $20 / kg = $1600 worth of fish. Today, Erica trawled 80 * 2 = 160 kg of fish. Thus today's earnings are 160 kg * $20 / kg = $3200. Her total earnings are $3200 + $1600 = $4800. The answer is 4800.
Q: A father is building a playset for his son and needs to purchase lumber, nails, and fabric. When he started planning the project, the necessary lumber cost $450, the nails cost $30, and the fabric cost $80. However, recent economic inflation has caused the price of lumber to increase by 20%, the price of nails to increase by 10%, and the price of fabric to increase by 5%. In dollars, how much more money will it cost to complete the project now (after inflation) than it would have when the father began planning?
A: First, the initial, pre - inflation, cost of the project was 450 + 30 + 80 = $560. Then, the price of the lumber increased to 450 * 1.20 = $540. Similarly, the price of the nails increased to 30 * 1.10 = $33. And the price of the fabric increased to 80 * 1.05 = $84. Therefore, the new, post - inflation, cost of the project is 540 + 33 + 84 = $657. Thus, the cost has increased by 657 - 560 = $97. The answer is 97.
Question: Chloe bought chocolate-dipped strawberries at $50 a dozen. She then sold them for $30 for half a dozen during the Mother's Day celebration. How much is Chloe's profit if she sold 50 dozens?
Answer: If Chloe bought it for $50 per dozen, then half a dozen cost her $50 / 2 = $25. This means that she has $30 - $25 = $5 profit per half a dozen of chocolate - dipped strawberries. If Chloe sold 50 dozens, then she was able to sell 50 / 1 / 2 = 100 half a dozen chocolate - dipped strawberries. Hence, her profit is $5 x 100 = $500. The answer is 500.
[Question]Dalton, Hunter, and Alex started a Superhero Fan Club. They set a goal to watch as many Superhero movies as they could in one summer. Dalton watched 7 movies, Hunter watched 12, and Alex watched 15. They all watched 2 movies together, but every other movie they watched was different. How many different movies did they see?
[Answer]Dalton watched 7 – 2 = 5 more movies. Hunter watched 12 – 2 = 10 more movies. Alex watched 15 – 2 = 13 more movies. Altogether, they watched 2 + 5 + 10 + 13 = 30 different movies. The answer is 30.
Q: Penny's canoe can carry 6 people, but if she wants to take her dog, she will only fit 2/3 of that number inside. If every person in a trip where Penny had her dog inside the canoe weighed 140 pounds, and the dog 1/4 as much weight, calculate the total weight the canoe was carrying?
A: When Penny has her dog inside the canoe, only 2 / 3 * 6 = 4 people could fit inside the canoe. If every person in a trip where Penny had her dog inside the canoe weighed 140 pounds, the total weight of people inside the canoe was 140 * 4 = 560 pounds. The dog weighs 1 / 4 * 140 = 35 pounds. On the trip, the canoe was carrying 560 + 35 = 595 pounds. The answer is 595.
Question: Ruby is taking dance lessons. They cost $75 for 10 classes in one pack. She can add additional classes at the price of 1/3 more than the average price of a class on the lesson in the pack. if she takes 13 total classes, how much does she pay?
Answer:
The classes in the pack cost $7.5 each because 75 / 10 = 7.5. An additional class costs $10 because 7.5 x (1 + (1 / 3)) = 10. She buys 3 extra classes because 13 - 10 = 3. Her three additional classes cost $30 because 3 x 10 = 30. Her total cost is $105 because 75 + 30 = 105. The answer is 105.