[Question]Daytona Beach has 26 shark sightings a year. Daytona Beach has 5 more than triple the number of shark sightings as Cape May. How many shark sightings are there in Cape May?
[Answer]Let x be the number of shark sightings in Cape May. 26 = 5 + 3x. 21 = 3x. x = 7. The answer is 7.
Q: Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?
A: In round one, Jeff completed 16 - 1 = 15. In round two, Jeff completed 16 - 3 = 13. In round three, Jeff completed 16 + 4 = 20. In round four, Jeff completed 16 / 2 = 8. Jeff completed 15 + 13 + 20 + 8 = 56 skips in total. Jeff skipped an average of 56 / 4 = 14 skips per round. The answer is 14.
Question: Stella’s antique shop has 3 dolls, 2 clocks and 5 glasses for sale. She sells the dolls for $5 each. The clocks are priced at $15 each. The glasses are priced at $4 each. If she spent $40 to buy everything and she sells all of her merchandise, how much profit will she make?
Answer: The dolls will sell for 3 * $5 = $15. The clocks will bring in 2 * $15 = $30. The glasses will sell for 5 * $4 = $20. In total, she will bring in $15 + $30 + $20 = $65. Her total profit will be $65 - $40 = $25. The answer is 25.
[Question]Omi is twice as old as Kimiko. Arlette is 3/4 times as old as Kimiko. If Kimiko is 28 years old, calculate the average age of the three?
[Answer]If Kimiko is 28, Omi is 2 * 28 years = 56 years old. Arlette is 3 / 4 * 28 years = 21 years old. If you add up their ages, it sums to 21 years + 56 years + 28 years = 105 years. The average age for the three is 105 years / 3 people = 35 years / person. The answer is 35.
Q: Tina is getting $20 for each book she sells. If she realizes a $120 profit on her sales, how many people have she sold the books to if each book costs $5 to make and every customer buys 2 at a time?
A: First, we need to determine the profit per book. To do this, we perform 20 - 5 = 15 dollars in profit per book. Next, we divide the total sales by the profit per book, performing 120 / 15 = 8 books sold in total. Since the books are sold 2 at a time, we divide the number sold by 2 to find the total number of people sold to, performing 8 / 2 = 4 people in total. The answer is 4.
Question: Anthony keeps a bottle of vinegar in his cupboard for 2 years. Each year 20% of the vinegar evaporates. What percent of the vinegar is left after 2 years?
Answer:
First find what percent of the vinegar is still in the bottle after each year: 100% - 20% = 80%. Then multiply the amount of vinegar left after one year by the percentage left after each year to find how much is left after 2 years: 80% * 80% = 64%. The answer is 64.