Question: Gina chooses what she and her sister will watch on Netflix three times as often as her sister does. If her sister watches a total of 24 shows on Netflix per week, and each show is 50 minutes long, how many minutes of Netflix does Gina get to choose?
Answer: Let g be the number of shows Gina chooses and s be the number her sister chooses. We know that g = 3s and g + s = 24. Substituting the first equation into the second equation, we get 3s + s = 24. Combining like terms, we get 4s = 24. Dividing both sides by 4, we get s = 6. Substituting this value back into g = 3s, we get g = 3 * 6 = 18. Then multiply the number of shows by the length of each show in minutes to find the total number of minutes Gina chooses: 18 shows * 50 minutes / show = 900 minutes. The answer is 900.
[Question]In 2 years, Maxwell will be twice his sister's age. If his sister is now 2, how old is Maxwell now?
[Answer]In two years, Maxwell's sister will be 2 years + 2 years = 4 years old. Therefore, Maxwell will be 4 years x 2 = 8 years old in two years. Maxwell is now 8 years - 2 years = 6 years old. The answer is 6.
Q: Cristobal read 15 more than three times the pages that Beatrix read. If Beatrix read 704 pages, how many more pages did Cristobal read?
A: Cristobal read: 15 + 3 * 704 = 2127 pages. 2127 - 704 = 1423 pages. Cristobal read 1423 more pages than Beatrix. The answer is 1423.
Question: Haley is making cider. It takes 20 golden delicious apples and 40 pink lady apples to make one pint of cider. Each of her 6 farmhands can pick 240 apples per hour and will work 5 hours today. How many pints of cider can Haley make with the apples gathered today, provided that the ratio of golden delicious apples to pink lady apples gathered is 1:2?
Answer: First figure out how many apples total are needed for one pint of cider: 20 golden delicious / pint + 40 pink lady / pint = 60 apples / pint. Then multiply that number by 8 to find the number of apples needed for a gallon of cider: 60 apples / pint * 8 pints / gallon = 480 apples / gallon. Now find how many apples per hour all 8 farmhands pick: 240 apples / hour / farmhand * 6 farmhands = 1440 apples / hour. Then multiply that amount by the number of hours worked to find the total number of apples gathered: 1440 apples / hour * 5 hours = 7200 apples. Divide the total number of apples gathered by the number of apples used by gallon to find the number of gallons of cider made: 7200 apples / 480 apples / gallon = 15 gallons. Since there are 8 pints in a gallon, the final answer is 15 gallons * 8 pints / gallon = 120 pints. The answer is 120.
[Question]If Lyn donates $240 to a private organization each year where 1/3 of it goes to the community pantry project, 1/2 goes to the local crisis fund, 1/4 of the remaining goes to livelihood project funds, and the rest is for contingency funds. How much goes to contingency fund?
[Answer]The community pantry project gets 240 x 1 / 3 = $80. The local crisis fund has 240 x 1 / 2 = $120. The total funds allocated for the two funds is $80 + $120 = $200. So, $240 - $200 = $40 are left for the other 2 funds. The livelihood project gets $40 x 1 / 4 = $10. This means that the contingency fund is $40 - $10 = $30. The answer is 30.
[Question]A party of 4 order 3 dozen oysters on the half shell for $15.00 a dozen, 2 pounds of steamed shrimp for $14.00 a pound and 2 pounds of fried clams for $13.50 a pound. If they split the bill equally, how much will they each owe?
[Answer]
They ordered 3 dozen oysters at $15.00 a dozen so that's 3 * 15 = $45.00. They ordered 2 pounds of shrimp for $14.00 a pound so that's 2 * 14 = $28.00. They ordered 2 pounds of fried clams for $13.50 a pound so that's 2 * 13.50 = $27.00. All total their bill comes to 45 + 28 + 27 = $100.00. Their bill was $100.00 and they are splitting it equally amongst 4 people so they each owe 100 / 4 = $25.00. The answer is 25.