Question: Sally is saving up for a trip to Sea World. She already has $28 saved. It costs her $10 to park, $55 to get into the park and $25 for a meal pass. Sea World is 165 miles away and her car gets 30 miles per gallon of gas. If gas costs $3 a gallon, how much more will she have to save up?
Answer: She will be driving 330 miles for her trip because 2 x 165 = 330. They will need 11 gallons of gas because 330 / 30 = 11. The gas will cost $33 because 11 x 3 = 33. Her total cost is $123 because 10 + 55 + 25 + 33 = 123. She needs to save $95 more because 123 - 28 = 95. The answer is 95.
[Question]Mario's salary increased by 40% to $4000 this year. Bob's salary from last year was equal to three times Mario's salary this year. If Bob's current salary is 20% more than his salary last year, what is his current salary?
[Answer]Last year, Bob's salary was equal to three times Mario's salary this year, meaning Bob was earning 3 * $4000 = $12000. If Bob's salary increased by 20% this year, he is earning 20 / 100 * $12000 = $2400 more. Bob's total salary this year is $12000 + $2400 = $14400. The answer is 14400.
Q: Annie has 6 barrettes, twice as many scrunchies as barrettes, and three fewer bobby pins than barrettes. What percentage of her hair decorations are bobby pins, rounded to the nearest percent?
A: First find the total number of scrunchies: 6 barrettes * 2 = 12 scrunchies. Then subtract three fewer bobby pins than barrettes 6 - 3 = 3 bobby pins. Then add the number of each type of hair decorations to find the total number: 6 decorations + 12 decorations + 3 decorations = 21 decorations. Then divide the number of bobby pins by the total number of decorations and multiply by 100% to express the answer as a percentage: 3 bobby pins / 21 decorations * 100% = 14.28 which rounds down to 14%. The answer is 14.
Question: Randy just turned 12 and started playing the piano. His friend Sheila told him about the 10,000-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year?
Answer: Randy has 20 – 12 = 8 years until he is 20. He must practice 10,000 hours / 8 years = 1,250 hours a year to become an expert. There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = 50 weeks of practice for Randy. Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = 250 days of practice each year. Randy will need to practice 1250 hours / 250 days = 5 hours each day. The answer is 5.
[Question]Each year a store decreased the price of a certain model of TV by $35. If the price in 2001 was $1950, what was the price in 2009?
[Answer]The period the store had the TV was 2009 - 2001 = 8 years. The TV decreased by $35 / year * 8 years = $280. So the price in 2009 was $1950 - $280 = $1670. The answer is 1670.
[Question]Antonella has ten Canadian coins in her purse that are either loonies or toonies. A loonie equals $1 and a toonie equals $2. If she bought a $3 Frappuccino and still has $11, how many toonies did she initially have?
[Answer]
If Antonella spent $3 and now has $11, that means initially she had $3 + $11 = $14. Let the number of loonies Antonella had be L and the number of toonies be T. Initially she had in her purse a total of 1L + 2T = $14. We also know that she had 10 coins in total or 10 = L + T. That means initially she had T = 10 - L toonies. Combining both equations we know that 14 = 1L + 2 * (10 - L). If we multiply through the parentheses, we get 14 = 1L + 20 - 2L. If we combine the variables on one side and the constants on another, we get - 6 = - 1L or L = 6. Knowing the value of L, we can solve for T = 10 - L = 10 - 6 = 4. The answer is 4.