Q: Ann is cutting fabric to make curtains. She cuts a 4 foot by 6 foot rectangle for the living room, and a 2 foot by 4 foot rectangle for the bedroom. If the bolt of fabric is 16 feet by 12 feet, how much fabric is left in square feet?
A: First figure out how many square feet the original bolt of fabric was: 16 feet * 12 feet = 192 square feet. Then figure out how much fabric Ann took for the living room curtains: 4 feet * 6 feet = 24 square feet. Then figure out how much fabric Ann took for the bathroom curtains: 2 feet * 4 feet = 8 square feet. Finally, subtract the square footage of both sets of curtains from the total square footage: 192 - 24 - 8 = 160 square feet. The answer is 160.
Question: Amanda's garden contains 20 flowers and Peter's garden contains three times as many flowers as Amanda's. If Peter gave 15 flowers to his brother, how many flowers are left in his garden?
Answer: The number of flowers in Peter's garden is 20 * 3 = 60 flowers. The number of flowers left after he gave his brother 15 flowers is 60 15 = 45 flowers. The answer is 45.
[Question]There are five times as many swordfish as pufferfish in an aquarium exhibit. If there are 90 fish total, how many pufferfish are there?
[Answer]Let s be the number of swordfish and p be the number of pufferfish. We know that s = 5p and s + p = 90. Substituting the first equation into the second equation, we get 5p + p = 90. Combining like terms, we get 6p = 90. Dividing both sides by 6, we get p = 15. The answer is 15.
Q: Pauline has a garden with vegetables. In it, Pauline has planted 3 kinds of tomatoes - 5 of each kind, 5 kinds of cucumbers - 4 of each kind, and 30 potatoes. In the whole garden, there are 10 rows with 15 spaces in each to plant any vegetable. How many more vegetables could Pauline plant in her garden?
A: Pauline planted in total 3 * 5 = 15 tomatoes. Pauline also planted 5 * 4 = 20 cucumbers. In total Pauline planted 15 + 20 + 30 = 65 different vegetables. The whole garden can be filled up with 10 * 15 = 150 different vegetables. So Pauline could plant 150 - 65 = 85 more vegetables in her garden. The answer is 85.
Question: There are 20 sandcastles on Mark's beach, each with 10 towers. On Jeff's beach, there are three times as many castles as on Mark's beach, each with 5 towers. What is the combined total number of sandcastles and towers on Mark's and Jeff's beaches?
Answer: The total number of towers at Mark's beach is 20 * 10 = 200 towers. There are 200 + 20 = 220 sandcastles and towers on Mark's beach. Jeff's beach has 3 * 20 = 60 sandcastles, three times as many as the number of sandcastles in Mark's beach. The number of towers in each of the sandcastles on Jeff's beach is 1 / 2 * 10 = 5. Since each sandcastle has 5 towers on Jeff's beach, there are 5 * 60 = 300 towers. In total, on Jeff's beach, there are 300 + 60 = 360 towers and sandcastles. Altogether, 360 + 220 = 580 sandcastles and towers can be found on their beaches. The answer is 580.
Q: Grace started her own landscaping business. She charges $6 an hour for mowing lawns, $11 for pulling weeds and $9 for putting down mulch. In September she mowed lawns for 63 hours, pulled weeds for 9 hours and put down mulch for 10 hours. How much money did she earn in September?
A:
Grace mowed lawns for 63 hours at $6 / hour, so earned 63 * 6 = $378. Grace pulled weeds for 9 hours at $11 / hour, so earned 9 * 11 = $99. Grace put down mulch for 10 hours at $9 / hour, so earned 10 * 9 = $90. During September Grace earned $378 + $99 + $90 = $567. The answer is 567.