[Question]Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were 192 inches tall, how tall were the sunflowers from Packet B?
[Answer]The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y. The answer is 160.
Q: Mr. Williams bought 10 gallons of juice for a party. Each gallon has 10 cups. At the party, 5 cups of juice were left. How many cups of juice were drunk?
A: Mr. Williams bought 10 x 10 = 100 cups of juice. Since 5 cups were left, then 100 - 5 = 95 cups were drunk. The answer is 95.
Question: This week, the fishmonger sold 50 kg of salmon. He sold three times more the following week. What was the total amount of fish sold in two weeks?
Answer: The following week, he sold 50 x 3 = 150 kg of salmon. So he sold 50 + 150 = 200 kg of fish. The answer is 200.
[Question]Larry and Barry want to pick apples out of the tree, but neither is tall enough to reach the apples. Barry can reach apples that are 5 feet high. Larry is 5 feet tall, but his shoulder height is 20% less than his full height. If Barry stands on Larry's shoulders, how high can they reach?
[Answer]Larry's shoulder height is 20% less than 5 feet, or 0.2 * 5 = 1 foot less than 5 feet. One foot less than 5 feet is 5 - 1 = 4 feet. If Barry stands on Larry's shoulders, they can reach 4 + 5 = 9 feet. The answer is 9.
Q: A bar of steel weighs twice the mass of a bar of tin. If a steel bar also weighs 20 kgs more than a copper bar and a copper bar weighs 90 kgs, calculate the total weight of a container with 20 bars of each type of metal.
A: The total weight of 20 bars of copper is 20 * 90 = 1800kgs. If a copper bar weighs 90 kgs, and a steel bar weighs 20 kgs more than a copper bar, the weight of a steel bar is 90 + 20 = 110 kgs. If a bar of steel weighs 110 kgs, 20 bars will weigh 20 * 110 = 2200kgs. The total weight of 20 bars of copper and steel is 2200 + 1800 = 4000 kgs. A bar of steel weighs twice the mass of a bar of tin, meaning a bar of tin weighs 110 / 2 = 55 kgs. The total weight of 20 bars of tins is 55 * 20 = 1100 kgs. The total weight of 20 bars of each metal is 4000 + 1100 = 5100 kgs. The answer is 5100.
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.