Q: Janet has 1/3 of a bottle of rose shampoo and 1/4 of a bottle of jasmine shampoo. If she uses 1/12 of a bottle of shampoo per day, how many days will her shampoo last?
A: First cross - multiply to give both fractions the same denominator, then add the fractions: 1 / 3 + 1 / 4 = 4 / 12 + 3 / 12. Then add these fractions to find that she has 4 / 12 + 3 / 12 = 7 / 12 of a bottle of shampoo left. Then divide the total amount of shampoo she has by the amount she uses per day to find the number of days the shampoo will last: 7 / 12 / 1 / 12 / day = 7 days. The answer is 7.
Question: Jessica was half her mother's age when her mother died. If her mother were alive now, ten years later, she would have been 70. How old is Jessica currently?
Answer: If Jessica's mother would be alive today, ten years later after her death, she would be 70, meaning she died at 70 - 10 = 60. If Jessica was half her mother's age when her mother died, she was 1 / 2 * 60 = 30 years old. Currently, ten years later, Jessica is 10 + 30 = 40 years old. The answer is 40.
[Question]Tom is cutting a piece of wood to make a shelf. He cut the wood to 143 cm, but it is too long to fit in the bookshelf he is making. He decides to cut 25 cm off the board. But it turned out longer than the other boards. He had to cut off 7 cm from each to make them the same size. How long were the boards before he cut the 7 cm off?
[Answer]After the first cut, the board was 143 - 25 = 118 cm. The other boards were 118 + 7 = 125 cm before they got cut. The answer is 125.
Q: Koby and Cherie want to light fireworks. Koby has bought 2 boxes of fireworks while Cherie has just 1 box of fireworks. Koby’s boxes each contain 3 sparklers and 5 whistlers. Cherie’s box has 8 sparklers and 9 whistlers. In total, how many fireworks do Koby and Cherie have?
A: Each of Koby’s boxes contain 3 sparklers + 5 whistlers = 8 fireworks. So in total, Koby has 2 boxes * 8 fireworks per box = 16 fireworks. Cherie’s box of fireworks has 8 sparklers + 9 whistlers = 17 fireworks. Koby and Cherie therefore have a combined total of 16 fireworks from Koby + 17 fireworks from Cherie = 33 fireworks. The answer is 33.
Question: Three frogs are trying to hop across the road. The first frog takes 4 times as many hops as the second. The second frog takes twice as many as the third. If the three frogs took a total of 99 hops, how many hops did it take the second frog to cross the road?
Answer: Let x represent the number of hops it took the third frog. The second frog:2x. First frog:4(2x) = 8x. Total:x + 2x + 8x = 99. 11x = 99. x = 9. Second frog:2(9) = 18 hops. The answer is 18.
Q: During the outbreak of the coronavirus, a company had to ramp up its toilet paper production three times more to cover the increased demand. If the company was producing 7000 toilet paper per day, calculate its total toilet paper production during March of 2020 after increasing its production.
A:
If the company was producing 7000 toilet paper per day, when it ramped up its toilet paper production three times per day, it produced 3 * 7000 = 21000 more per day. The total toilet production by the company increased to 7000 + 21000 = 28000. In March, with 31 days, the company produced a total of 28000 * 31 = 868000 toilet papers. The answer is 868000.