Q: On her birthday, Avianna bought red candles and blue candles in the ratio of 5:3. If Avianna had 45 red candles on her birthday, how many blue candles did she have?
A: If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5 + 3 = 8. If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8 * 45 = 360 divided by 5 is 360 / 5 = 72 candles. If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = 27 candles. The answer is 27.
Question: Ashley had a birthday party and invited 20 of her friends, telling them to each invite one more person to attend the party. If half the number of the invited guests each came with one more person, what's the total number of people at the party, including Ashley?
Answer: If she invited 20 friends, then the number of friends who came with one more person is 1 / 2 * 20 = 10. If the 10 friends came with 10 more people, the total number of guests becomes 20 + 10 = 30 guests. If you add Ashley, the total number of people in the party is 30 + 1 = 31 people. The answer is 31.
[Question]Bella has two times as many marbles as frisbees. She also has 20 more frisbees than deck cards. If she buys 2/5 times more of each item, what would be the total number of the items she will have if she currently has 60 marbles?
[Answer]When Bella buys 2 / 5 times more marbles, she'll have increased the number of marbles by 2 / 5 * 60 = 24. The total number of marbles she'll have is 60 + 24 = 84. If Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60 / 2 = 30 frisbees. If Bella buys 2 / 5 times more frisbees, she'll have 2 / 5 * 30 = 12 more frisbees. The total number of frisbees she'll have will increase to 30 + 12 = 42. Bella also has 20 more frisbees than deck cards, meaning she has 30 - 20 = 10 deck cards. If she buys 2 / 5 times more deck cards, she'll have 2 / 5 * 10 = 4 more deck cards. The total number of deck cards she'll have is 10 + 4 = 14. Together, Bella will have a total of 14 + 42 + 84 = 140 items. The answer is 140.
Q: In two years, Ophelia will be four times as old as Lennon. If Lennon is currently eight years old, how old is Ophelia?
A: In two years, Lennon will be 2 + 8 = 10 years old. Ophelia will be 4 * 10 = 40 years old in two years. Currently, Ophelia is 40 - 2 = 38 years old. The answer is 38.
Question: Greg and Katie went to Mrs. Scarlet's gold store to have their gold chests opened. They realized Greg had four times less gold than Katie when Mrs. Scarlet opened the chests. If the total amount of gold is 100, how much gold does Greg have?
Answer: Let's say Greg had x number of golds. Katie had 4 * x = 4x. The total number of gold they all had is Katie's 4x + x gold for Gref = 5x. If the total amount of gold, which was 100 = 5x. Then x = 100 / 5 = 20. Greg had x = 20 gold. The answer is 20.
Q: There are 24 students in the class. One-third had their school portraits taken before lunch. After lunch, but before gym class, 10 additional students had their portraits taken. After gym class, how many students have not yet had their picture taken?
A:
Before lunch, 24 / 3 = 8 students were photographed. Then 8 + 10 = 18 have been photographed by gym class. So 24 - 18 = 6 remain. The answer is 6.