Question: Three times as many children as adults attend a concert on Saturday. An adult ticket costs $7 and a child's ticket costs $3. The theater collected a total of $6,000. How many people bought tickets?
Answer: Let X be the number of adults attending the concert. The number of children attending the concert is 3 * X. The theater collected a total of 7 * X + 3 * (3 * X) = $6,000. Multiplying through the parentheses we get 7X + 9X = $6,000. Adding like terms we get 16X = $6,000. Dividing both sides by 16 we get X = 375, the number of adults attending the concert. The number of children attending the concert is triple this number: 375 adults * 3 children / adult = 1125 children. The number of people attending the concert is 375 + 1125 = 1500 people. The answer is 1500.
[Question]Sofia and her mother go to the grocery store and buys 10kgs of oranges to be used in their home for the week. While at the store, Sofia's father calls and says they're to add 5 more kgs since their neighbor also wanted some supplies. When they reach home, they estimated that for the next coming two weeks they'll have to buy twice as many oranges each week for the supplies to be enough. What the total quantity of oranges they would have bought after the three weeks.
[Answer]For the first week, they bought 10 + 5 = 15kgs. For the next week, they bought twice the quantity of oranges which is 2 * 15 = 30kgs. For the next two weeks, the total quantity of oranges bought is 30 * 2 = 60 kgs. The total quantity for the three weeks is 60 + 15 = 75 kgs. The answer is 75.
Q: Kelly has 8 chickens that lay 3 eggs each per day. If Kelly sells these eggs for $5 a dozen. How much money will she make in 4 weeks if she sells all her eggs?
A: Each chicken lays 7 * 3 = 21 eggs a week. Each week all the chickens lay 21 * 8 = 168 eggs. In 4 weeks all the chickens lay 168 * 4 = 672 eggs. 672 eggs equal 672 / 12 = 56 dozens. Kelly would make 56 * 5 = 280 dollars. The answer is 280.
Question: Rihanna has $50 to go to the supermarket. Rihanna bought 6 mangoes and 6 cartons of apple juice. Each mango cost $3 and each carton of apple juice cost $3. How much money does Rihanna have left?
Answer: The cost of the mangoes is 6 mangoes × $3 / mango = $18. The cost of the apple juice is 6 cartons × $3 / carton = $18. Find the total cost of the groceries which is $18 + $18 = $36. Rihanna has $50 − $36 = $14 left. The answer is 14.
[Question]All of the beads in Sue's necklace are either purple, blue, or green. If Sue has 7 purple beads, twice as many blue beads as purple beads, and 11 more green beads than blue beads, how many beads are in the necklace?
[Answer]Twice as many blue beads as purple beads in the necklace are 2 * 7 = 14 beads. Sue also has 11 more green beads than blue beads, a total of 14 + 11 = 25 beads. The necklace has 7 purple + 14 blue + 25 green = 46 beads. The answer is 46.
[Question]While buying DVDs at the store, Maria received a 25% discount. If the discount she received is $40, how much did she pay in total?
[Answer]
Since 100 percent represent the original price, and she received a 25% discount which is $40, the original price is 100 / 25 * 40 = 160. Maria paid $160 - $40 = $120 after receiving the twenty - five percent discount. The answer is 120.