Q: Erika and her brother Rick want to buy a gift for their mother that costs $250. They have both saved money. Erika saved $155 and her brother saved only half of the cost of the gift. They also want to surprise their mother with a birthday cake that costs $25. How much money will they have left after buying their mother a gift and cake?
A: Rick's savings are half the price of the gift, which is $250 / 2 = $125. The total savings for the two siblings is $155 + $125 = $280. Mom's gift costs $250 + $25 for the cake = $275. Subtracting the total cost of the gift from the total savings, we get $280 - $275 = $5 left. The answer is 5.
Question: In a certain forest, there are 4 species of trees: oak, pine, spruce, and birch. There is a total of 4000 trees in the forest. Spruces make up 10% of all the trees, and pines 13%. There are as many oaks as spruces and pines put together. How many birches are there in the forest?
Answer: There are 10 / 100 * 4000 = 400 spruces in the forest. There are 13 / 100 * 4000 = 520 pines in the forest. There are as many oaks as pines and spruces together, so there are 400 + 520 = 920 oaks. Therefore there are 4000 - 920 - 520 - 400 = 2160 birches. The answer is 2160.
[Question]Martin went on an eight-hour business trip. During the first half of the trip, he traveled at a speed of 70 kilometers per hour and during the second half at a speed of 85 kilometers per hour. How many kilometers did he travel during the journey?
[Answer]Half of the trip lasts for 8 * 0.5 = 4 hours. During the first half, Martin did 4 * 70 = 280 kilometers. And during the second half 4 * 85 = 340 kilometers. In total Martin traveled 280 + 340 = 620 kilometers during his business trip. The answer is 620.
Q: Last week, Charles bought a t-shirt for $30, a backpack for $10, and a blue cap for $5. The store gave him a discount and, in total, he only spent $43. How much of a discount did they give him, in dollars?
A: The purchases he made totaled $30 + $10 + $5 = $45. He should pay $45, but he only paid $43, so $45 - $43 = $2 was the discount they gave him. The answer is 2.
Question: Bill gets a flat-screen TV that measures 48 inches by 100 inches. His brother Bob gets a TV that measures 70 inches by 60 inches. If the TVs weigh 4 oz per square inch of screen space, how much more does the heavier TV weigh in pounds? (There are 16 ounces per pound).
Answer: First find the screen area of Bill's TV: 48 inches * 100 inches = 4800 square inches. Then find the screen area of Bob's TV: 70 inches * 60 inches = 4200 square inches. Then subtract the size of the smaller TV from the size of the bigger TV to find the size difference: 4800 square inches - 4200 square inches = 600 square inches. Then multiply the size difference by the weight per square inch to find the weight difference: 600 square inches * 4 oz / square inch = 2400 oz. Then divide the weight difference in ounces by the number of ounces per pound to find the weight difference in pounds: 2400 oz / 16 oz / pound = 150 pounds. The answer is 150.
Q: Sophia ate 1/6 of her pie and she put the rest on the fridge. If the pie left in the fridge weighs 1200 grams, how many grams did Sophia eat?
A:
If Sophia ate 1 / 6 of the pie, then 6 / 6 - 1 / 6 = 5 / 6 is left in the fridge. Let x be the pie's original weight. The current weight of the pie can be described by 5x / 6 = 1200 grams. So, 5x = 7200. And, the original weight is x = 1440 grams. So, Sophia ate 1440 grams original - 1200 grams after = 240 grams of pie. The answer is 240.