[Question]In a classroom, there are blue chairs, green chairs, and white chairs. There are 10 blue chairs. The green chairs are 3 times as many as the blue chairs, and there are 13 fewer white chairs than the green and blue chairs combined. How many chairs are there in a classroom?
[Answer]There are 10 x 3 = 30 green chairs. The total number of blue and green chairs is 10 + 30 = 40. So, there are 40 - 13 = 27 white chairs. Therefore, there are 40 + 27 = 67 chairs in a classroom. The answer is 67.
Q: Melanie baked 10 batches of brownies, with 20 brownies in each batch. She set aside 3/4 of the brownies in each batch for a bake sale, put 3/5 of the remaining in a container, and gave out the rest. How many brownies are given out?
A: Melanie set aside 20 x 3 / 4 = 15 brownies from each batch for a bake sale. So, there are 20 - 15 = 5 brownies that are not for bake sale from each batch. Out of the 5, 5 x 3 / 5 = 3 brownies are kept in a container from each batch. Thus, 5 - 3 = 2 brownies are given out from each batch. Therefore, a total of 2 x 10 = 20 brownies are given out from the 10 batches. The answer is 20.
Question: For every loaf of bread that Ted buys, he needs an additional 2 packs of sandwich meat and 2 packs of sliced cheese to make 10 sandwiches. The bread costs $4.00, the sandwich meat costs $5.00 per pack and the cheese costs $4.00 per pack. He has a $1.00 off coupon for one pack of cheese and an additional $1.00 coupon for one pack of meat. How much does each sandwich cost?
Answer: He buys 2 packs of sandwich meat at $5.00 a pack so 2 * 5.00 = $10.00. He buys 2 packs of cheese at $4.00 a pack so 2 * 4.00 = $8.00. The loaf of bread cost $4.00 plus $10.00 for meat and $8.00 for cheese so his total is 4 + 10 + 8 = $22.00. He has coupons to use a checkout so his new total is 22 - 1 - 1 = $20.00. He can make 10 sandwiches from his purchase and his purchase total is $20 so 20 / 10 = $2.00. The answer is 2.
[Question]In Fifi's closet, she hangs all of her clothes on colored plastic hangers. She has clothes hanging on 7 pink hangers, 4 green hangers, one less blue hanger than there are green hangers, and one less yellow hanger than there are blue hangers. What is the total number of colored hangers in Fifi's closet?
[Answer]With 4 green hangers, 1 less blue hanger than there are green hangers is 4 - 1 = 3 blue hangers. With 3 blue hangers, 1 less yellow hanger less than there are blue hangers is 3 - 1 = 2 yellow hangers. With 7 pink hangers, the total number of colored hangers in Fifi's closet is 7 + 4 + 3 + 2 = 16 hangers. The answer is 16.
Q: A retailer sells any shirt for the same price and any pair of pants for the same price, but the price of shirts and pants are not the same. Say you bought 2 shirts and 3 pairs of pants for $120 in total, then you realized you didn't need the extra pants. What's the price of 1 shirt at this place if when you returned all 3 pairs of pants you were refunded 25% of what you originally paid?
A: If I paid $120 and I was refunded 25% for all the 3 pants, then that means I received 25% * 120 = $30. This means the total price of the 2 shirts was 120 - 30 = 90. The price of one shirt is thus 90 / 2 = 45. The answer is 45.
Question: Parker wants to find out what the average percentage of kernels that pop in a bag is. In the first bag he makes, 60 kernels pop and the bag has 75 kernels. In the second bag, 42 kernels pop and there are 50 in the bag. In the final bag, 82 kernels pop and the bag has 100 kernels.
Answer:
In the first bag the proportion that pops is .8 because 60 / 75 = .8. In the second bag the proportion that pops is .84 because 42 / 50 = .84. In the third bag the proportion that pops is .82 because 82 / 100 = .82. The proportions totals 2.46 because .8 + . 84 + .82 = 2.46. The average proportion is .82 because 2.46 / 3 = .82. The average percentage is 82 because .82 x 100 = 82. The answer is 82.