[Question]Vinny weighed 300 pounds then lost 20 pounds in the first month of his diet. He continued his diet but each month, he lost half as much weight as he had lost in the previous month. At the start of the fifth month of his diet, he worked harder to lose extra weight then decided to end his diet. If Vinny weighed 250.5 pounds at the end of his diet, how many pounds did he lose throughout the fifth month?
[Answer]In the second month, Vinny lost half as much as he had the first month, so he lost 20 pounds / 2 = 10 pounds. In the third month, he again lost half as much which was 10 pounds / 2 = 5 pounds. And in the fourth month, he lost 5 pounds / 2 = 2.5 pounds. So in total, Vinny lost 20 + 10 + 5 + 2.5 = 37.5 pounds in the first four months. Over his entire diet, he had lost 300 – 250.5 = 49.5 pounds. So in the fifth month, Vinny must have lost 49.5 pounds total loss – 37.5 pounds loss in the first four months = 12 pounds. The answer is 12.
Q: At the new store, there are 3 times as many grape candies as cherry candies, and 2 times as many apple candies as grape candies. All the candies cost $2.50 each. If the total cost of the candies is $200, how many grape candies does the store have?
A: Total number of candies is 200 / 2.5 = 80 candies. Let x be the number of cherry candies. There are 3 * x grape candies. There are 2 * 3 * x = 6 * x apple candies. x + 3 * x + 6 * x = 80. 10 * x = 80. x = 8. There are 8 * 3 = 24 grape candies. The answer is 24.
Question: Bingley has 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining?
Answer: Kelly gives Bingley 16 / 4 = 4 bracelets. Bingley has 5 + 4 = 9 bracelets. Bingley gives his little sister 9 / 3 = 3 bracelets. In the end, Bingley has 9 - 3 = 6 bracelets remaining. The answer is 6.
[Question]Jan buys 1000 feet of cable. She splits it up into 25-foot sections. She gives 1/4 of that to a friend. She then puts half of the rest in storage. How much does she keep on hand?
[Answer]She gets 1000 / 25 = 40 sections. She gives away 40 / 4 = 10 sections. So she keeps 40 - 10 = 30 sections. She keeps 30 / 2 = 15 sections on hand. The answer is 15.
Q: May can knit 3 scarves using one yarn. She bought 2 red yarns, 6 blue yarns, and 4 yellow yarns. How many scarves will she be able to make in total?
A: May will be able to make 2 x 3 = 6 red scarves. She will be able to make 3 x 6 = 18 blue scarves. And she will be able to make 4 x 3 = 12 yellow scarves. Therefore the total scarves she can make is 12 + 18 + 6 = 36. The answer is 36.
Question: A radio show plays for 3 hours a day. They split their show into talking segments, ad breaks and songs. Talking segments last 10 minutes each, ad breaks last 5 minutes each and songs are played throughout the rest of the show. If the radio show includes 3 talking segments and 5 ad breaks in today’s show, how long, in minutes, does the show play songs?
Answer:
The entire radio show plays for 3 hours * 60 minutes = 180 minutes. The talking segments use 3 talking segments * 10 minutes per talking segment = 30 minutes each. The ad breaks use 5 ad breaks * 5 minutes per ad break = 25 minutes. In total, the talking segments and ad breaks use 30 + 25 = 55 minutes. This leaves 180 – 55 = 125 minutes for the radio show to play songs. The answer is 125.