[Question]Tatuya, Ivanna, and Dorothy took a quiz together. Tatuya scored twice as much as Ivanna, and Ivanna scored 3/5 times as many marks as Dorothy. If Dorothy scored 90 marks, calculate the average marks scored by the three.
[Answer]Since Dorothy scored 90 marks, and Ivanna scored 3 / 5 times as many marks, Ivanna scored 3 / 5 * 90 = 54 marks. Together, Dorothy and Ivanna scored a total of 54 + 90 = 144 marks. If Tayuta scored twice as many marks as Ivanna, she scored 2 * 54 = 108 marks. The total marks the three scored altogether is 108 + 144 = 252 marks. The average marks for the three are 252 / 3 = 84 marks. The answer is 84.
Q: Paul makes pencils, making 100 pencils a day five days a week. He started the week with 80 pencils in his stock, and during the week he sold 350 pencils. How many pencils did he have in his stock at the end of the week?
A: Making 100 pencils a day, he made 100 pencils / day * 5 days / week = 500 pencils during the week. With the pencils from the stock, he got 500 pencils + 80 pencils = 580 pencils. Subtracting the ones he sold, he has 580 pencils - 350 pencils = 230 pencils. The answer is 230.
Question: Mustafa buys a fridge, a TV and a computer with a total budget of $1600. The TV costs $600 and the fridge costs $500 more than the computer. How much does the computer cost?
Answer: The fridge and computer cost 1600 - 600 = 1000 dollars. The computer cost (1000 - 500) / 2 = 250 dollars. The answer is 250.
[Question]Isabella has three times as many green houses as yellow houses. She also has 40 fewer yellow houses than red houses. If she has 90 green houses, how many of her houses are not yellow?
[Answer]If the number of green houses is three times the number of yellow houses, and there are 90 green houses, then there are 90 / 3 = 30 yellow houses. She also has 40 fewer yellow houses than blue houses, meaning there are 30 + 40 = 70 blue houses. The number of houses that are not yellow is 70 blue houses + 90 green houses = 160. The answer is 160.
Q: There are 100 students in class and the ratio of boys to girls is 3:2. How many more boys than girls are there?
A: The class was divided into 3 + 2 = 5 parts. So each part is equal to 100 / 5 = 20 students. Since there are 3 parts for boys, then there are 20 x 3 = 60 boys in class. So there are 100 - 60 = 40 girls in class. Hence, there are 60 - 40 = 20 boys more than girls. The answer is 20.
Question: Aryan owes Fernanda $1200, which is twice what Kyro owes Fernanda. Aryan decides to pay 60% of her debt to Fernanda, and Kyro pays Fernanda 80% of her dept. If Fernanda had $300 in her savings account and adds the money she's been paid by her debtors to the savings account, calculate the total amount of money in her savings account now.
Answer:
Kyro owes Fernanda half of what Aryan owes Fernanda, a total of 1 / 2 * $1200 = $600. Aryan pays 60% of her dept, which equals 60 / 100 * 1200 = $720. If Fernanda adds the amount she's been paid by Aryan to her savings account, it increases to $300 + $720 = $1020. Kyro also pays her debt by 80 / 100 * $600 = $480. When Fernanda adds the amount she's been paid by Kyro to her savings account, the total amount of money in the savings account increases to $1020 + $480 = $1500. The answer is 1500.