Q: 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.
A: 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.
Question: Jason is tired of the neighborhood animals raiding his trash. He pepper-sprays some raccoons and 6 times as many squirrels. If he pepper-sprays 84 animals total, how many raccoons does he pepper-spray?
Answer: Let r be the number of raccoons Jason pepper - sprays and s be the number of squirrels. We know that r + s = 84 and s = 6r. Substituting the second equation into the first equation, we get r + 6r = 84. Combining like terms, we get 7r = 84. Dividing both sides by 7, we get r = 12. The answer is 12.
[Question]Lemuel is a basketball player. In one of the games, he made 2-point shots 7 times. He also made 3-points shots thrice. How many points, in total, did he make in that game?
[Answer]Lemuel made 2 x 7 = 14 points from his 2 - point shots. He also made 3 x 3 = 9 points from his 3 - point shots. Therefore, he made a total of 14 + 9 = 23 points in that game. The answer is 23.
Q: James finds 3 bills in his pocket. They are all 20s. If he already had $75 in his wallet how much money doe he have now?
A: He found 3 * 20 = $60. So now he has 60 + 75 = $135. The answer is 135.
Question: The cash price of a refrigerator was $8000. Samantha wanted to buy the refrigerator but pay in installments. If she paid a deposit of $3000 and paid 30 equal monthly installments of $300 each, calculate how much money she would have saved by paying cash.
Answer: When Samantha paid $300 in 30 equal monthly installments, she paid a total of $9000. Since the higher purchase is a deposit plus the total monthly installments, Samatha paid $3000 + $9000 = $12000 for the refrigerator on higher purchase. If she would have bought the refrigerator on the cash prize, Samantha would have paid $12000 - to $8000 = $4000 less. The answer is 4000.
Q: Nine hundred tickets were sold to a concert. Three-fourths of those who bought the ticket came before the start of the concert. Five-ninths of the remaining came few minutes after the first song. Eighty people arrived during the middle part of the concert while the rest did not go. How many of those who bought the tickets did not go?
A:
900 x 3 / 4 = 675 people came before the start of the concert. 900 - 675 = 225 people did not come before the start of the concert. 225 x 5 / 9 = 125 people came few minutes after the first song. So, 125 + 80 = 205 people came to the concert that was not able to be at the start of the concert. Therefore, 225 - 205 = 20 people did not go to the concert. The answer is 20.