Question: Lyssa and Precious took an English proficiency exam. Lyssa answered 20% of the items incorrectly. Precious got 12 mistakes. How many more correct answers did Lyssa get than precious if there were 75 items in the exam?
Answer: Lyssa got 75 x 20 / 100 = 15 mistakes. Lyssa's score is 75 - 15 = 60. The score of Precious is 75 - 12 = 63. Thus, Lyssa got 63 - 60 = 3 more correct answers than Precious. The answer is 3.
[Question]Sam has 18 cows. 5 more than half the cows are black. How many cows are not black?
[Answer]Half of the cows: 18 / 2 = 9. Black cows: 5 + 9 = 14. 18 - 14 = 4 cows. The answer is 4.
Q: Chloe and Max played Mario Kart together. The ratio of Chloe's wins to Max's wins is 8:3. Chloe won 24 times. How many times did Max win?
A: We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y. We know the ratio of Chloe's wins to Max's wins is 8 / 3, so 8 / 3 = 24 / Y. Next, we will multiply to find the cross - products. 8 x Y = 3 x 24 or 8Y = 72. We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8. Y = 9, so Max won 9 times. The answer is 9.
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.
[Question]Ben's new car cost twice as much as his old car. He sold his old car for $1800 and used that to pay off some of the cost of his new car. He still owes another $2000 on his new car. How much did his old car cost, in dollars?
[Answer]His new car costs 1800 + 2000 = 3800 dollars. His old car cost 3800 / 2 = 1900 dollars. The answer is 1900.
[Question]Louise is baking cakes for a gathering. She needs 60 cakes in total, and has already produced half this many. Today, she calculates how many cakes she has left to make and bakes half this amount. The next day, she again calculates how many cakes she has left to make and bakes a third of this amount. How many more cakes does Louise need to bake?
[Answer]
Louise has already produced 60 cakes / 2 = 30 cakes. After calculating how many cakes are left, she bakes another 30 cakes / 2 = 15 cakes. The next day, she calculates again then bakes another 15 cakes / 3 = 5 cakes. She therefore still needs to bake 60 30 15 5 = 10 cakes. The answer is 10.