Q: Kara mixes cups of sugar and water in the ratio of 1:2 to make one liter of lemonade. Calculate the total number of cups of sugar used if she used 84 cups to make lemonade.
A: The total ratio for the cups of sugar and water needed to make lemonade is 1 + 2 = 3. In the 3 cups needed to make one liter of lemonade, the fraction representing the cups of sugar needed is 1 / 3. If she used 84 cups while making lemonade, she used 1 / 3 * 84 = 28 cups of sugar. The answer is 28.
Question: Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 and there are 30 students in her class. Unfortunately, if the money she is given by the school to pay for books is not sufficient, she will need to pay the rest out of pocket. How much money does Sally need to pay out of pocket, to buy every student a reading book?
Answer: To purchase a book for each student, Sally needs: 30 x $12 = $360. She thus needs to pay $360 - $320 = $40 out of pocket. The answer is 40.
[Question]Blanche, Rose and Dorothy liked to collect sea glass when they went to the beach. Blanche found 12 pieces of green and 3 pieces of red sea glass. Rose found 9 pieces of red and 11 pieces of blue sea glass. If Dorothy found twice as many pieces of red glass as Blanche and Rose and three times as much blue sea glass as Rose, how many pieces did Dorothy have?
[Answer]Blanche found 3 pieces of red and Rose found 9 pieces of red for a total of 3 + 9 = 12 pieces of red. Dorothy found twice the amount of red as her friends so she has 2 * 12 = 24 pieces of red sea glass. Rose found 11 pieces of blue sea glass and Dorothy found 3 times that amount so she had 11 * 3 = 33 pieces of blue glass. Together, Dorothy found 24 red and 33 blue so she had 24 + 33 = 57 pieces of sea glass. The answer is 57.
Q: A train travels 360 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 240 miles?
A: The rate is 360 / 3 = 120 mph. Then it would take 240 / 120 = 2 additional hours. The answer is 2.
Question: Marcia needs to add 3 skirts, 2 pairs of pants and 5 blouses to her work wardrobe. A department store is offering a sale on pants; buy 1 pair get 1 pair 1/2 off. If her skirts are $20.00 each, the blouses are $15.00 and both pairs of pants are $30.00 each. How much will she spend on her wardrobe?
Answer: The pants are $30.00 and are buy one get one 1 / 2 off so the second pair will be 30 * .5 = $15.00. The first pair of pants is $30.00 and the second pair is $15.00 so the pants cost 30 + 15 = $45.00. The skirts are $20.00 each and she’s buying 3 so that’s 20 * 3 = $60.00. The blouses are $15.00 each and she’s buying 5 so that’s 15 * 5 = $75.00. All total, her wardrobe will cost $45 for the pants, $60 for the skirts and $75 for the blouses so 45 + 60 + 75 = $180.00. The answer is 180.
Q: A spiral notebook costs $15, and a personal planner costs $10. How much would it cost in total to buy 4 spiral notebooks and 8 personal planners at a 20% discount?
A:
If a spiral notebook cost $15, a 20% discount would reduce the price by 20 / 100 * 15 = $3. At a 20% discount, the buying price of a spiral notebook book is $15 - $3 = $12. At the same discount, a personal planner cost would reduce by 20 / 100 * $10 = $2. The new buying price of a personal planner will be $10 - $2 = $8. To buy four spiral notebooks at a 20% discount, you'll pay 4 * $12 = $48. At the same time discount, you'll buy eight personal planners at a cost pf 8 * $8 = 64. In total, to buy eight personal planners and four spiral notebooks, you'd have to pay $64 + $48 = $112. The answer is 112.