[Question]In 5 years, Heath will be 3 times as old as Jude. If Heath is 16 years old today, how old is Jude today?
[Answer]In 5 years, Heath will be 16 + 5 = 21 years old. In 5 years, Jude will be 21 / 3 = 7 years old. The difference in their ages is 21 - 7 = 14 years. Today, Jude will be 16 - 14 = 2 years old. The answer is 2.
Q: There are 3 numbers that are consecutive integers. Together they have a sum of 18. What is the largest of the 3 numbers?
A: Let N = smallest number. N + 1 = next number. N + 2 = largest number. N + (N + 1) + (N + 2) = 18. 3N + 3 = 18. 3N = 15. N = 5. The largest number is 7. The answer is 7.
Question: Bernie has a collection of 18 unique postcards. He decided to sell half his collection for $15 per postcard. After he has successfully sold his postcards he decided to spend all the earned money to buy new postcards for $5 each. How many postcards does Bernie have after all his transactions?
Answer: Half of Bernie's collection means 18 * 0.5 = 9 postcards. So he was able to sell 9 postcards for 9 * 15 = $135. He decided to spend all of his money on new postcards for $5 each, so he was able to buy 135 / 5 = 27 new postcards. This means Bernie has 9 + 27 = 36 postcards after all. The answer is 36.
[Question]Keenan needs to write an essay that is 1200 words. Her essay is due at midnight. She writes 400 words per hour for the first two hours. After that, she writes 200 words per hour. How many hours before the deadline does she need to start to finish on time?
[Answer]In the first two hours, Keenan writes 800 words because 400 * 2 = 800. After that, she still needs to write 400 words because 1200 - 800 = 400. Since she writes 200 words per hour, she will take 2 hours to write the last 400 words because 400 / 200 = 2. Thus, she needs to start 4 hours before the deadline because 2 + 2 = 4. The answer is 4.
Q: Phantom's mom gave him $50 to buy printer-inks. At the store, he bought two black printer inks which cost $11 each, three red printer inks which cost $15 each, and two yellow printer inks which cost $13 each. Phantom found out that his money is not enough to buy all the printer inks. How much more money should he ask his mom to be able to buy the printer inks?
A: Black printer inks will cost him 2 x $11 = $22. Red printer inks will cost him 3 x $15 = $45. And yellow printer inks will cost him 2 x $13 = $26. The total amount he has to pay for the printer inks is $22 + $45 + $26 = $93. Therefore, Phantom has to ask $93 - $50 = $43 more from his mom to be able to buy the printer inks. The answer is 43.
Question: Hannah wanted to make an apple pie that would serve 8 people. She needed 2 pounds of apples that were on sale for $2.00 per pound. The pre-made pie crust cost $2.00. The lemon cost $.50 and the butter cost $1.50. How much did each serving of pie cost?
Answer:
2 pounds of apples at $2.00 / pound would cost 2 * 2 = $4.00. If we add all of the purchases together then the total bill was 4 + 2 + .50 + 1.50 = $8.00. There are 8 servings per pie. So $8.00 / 8 servings = $1.00 per serving. The answer is 1.