[Question]John buys a gaming PC for $1200. He decides to replace the video card in it. He sells the old card for $300 and buys a new one for $500. How much money did he spend on his computer, counting the savings from selling the old card?
[Answer]He spent an extra 500 - 300 = $200 on the video card. That means the total cost was 1200 + 200 = $1400. The answer is 1400.
Q: Jacob is 24 years now. His brother Tony is half Jacob's age. In 6 years how old will tony be?
A: Tony’s age now is 24 / 2 = 12 years old. In 6 years he will be 12 + 6 = 18 years old. The answer is 18.
Question: Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
Answer: Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x. Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x. We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x. Then we can subtract 20x from each side to get 300 = 20x. Finally, we divide both sides by 20 to find that x = 15. The answer is 15.
[Question]In the engineering department, 70% of the students are men and 180 are women. How many men are there?
[Answer]The percentage for women is 100% - 70% = 30%. Since 180 represents 30%, then 180 / 30 = 6 students represent 1%. Hence, 6 x 70 = 420 students are men. The answer is 420.
Q: The Arevalo family went out to dinner. The smoky salmon costs $40, the black burger costs $15, and the chicken katsu costs $25. If the bill includes a 10% service charge and 5% tip, how much change will Mr. Arevalo receive from his $100?
A: The total amount spent on food is $40 + $15 + $25 = $80. The service charge is $80 x 10 / 100 = $8. The tip is $80 x 5 / 100 = $4. So, Mr. Arevalo had to pay $80 + $8 + $4 = $92 in all. Therefore, his change will only be $100 - $92 = $8. The answer is 8.
Question: Janice can type 6 sentences per minute. Today at work, Janice continued working on a paper she started typing yesterday. She typed for 20 minutes, took a break, and typed 15 minutes longer. She then had to erase 40 sentences she had typed incorrectly. After a meeting, she typed for 18 minutes more. In all, the paper had 536 sentences by the end of today. How many sentences did she start with today?
Answer:
Janice had X sentences from yesterday already typed to start with today. Janice typed 6 * 20 = 120 sentences before her break. She typed 6 * 15 = 90 sentences after her break. She typed 6 * 18 = 108 sentences after her meeting. Therefore, she typed 120 + 90 + 108 = 318 sentences today in all. She had to erase 40 sentences, so she had 318 - 40 = 278 sentences that she typed today left. The paper had X + 278 = 536 sentences at the end of today. Thus, she had X = 536 - 278 = 258 sentences typed on the paper to start with today. The answer is 258.