a pioneer family plans to build a barn.they will need 12 large support posts along each side wall and 8 posts along both the front and back walls.they can cut the two posts from each tree that they chop down.How many trees should they chop down?How did you find your answer?
B) you are poling a raft up the river.you make 15 miles a day.at night while you sleep, the current pushes the raft 3 miles back downstream.if you set out on tuesday to get to a town 85 miles upriver, on which day will you arrive? show your work.
C) you need 5 quarts of oil.you have full ten-quart container.you also have a four-quart container and three-quart container ,both empty.without wasting any oil,how can you measure out exactly five quarts.show your work.
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A) To determine how many trees the pioneer family needs to chop down for the barn, we need to calculate the total number of posts required.
On each side wall, they need 12 large support posts, and since there are two side walls, we multiply 12 by 2 to get 24 posts for the side walls.
On the front and back walls, they need 8 posts each. Since there are two front and back walls, we multiply 8 by 2 to get 16 posts for the front and back walls.
Adding the posts for the side walls (24) and the posts for the front and back walls (16), we get a total of 40 posts.
Now, since they can cut two posts from each tree they chop down, we divide the total number of posts (40) by 2 to find the number of trees needed.
So, the pioneer family needs to chop down 20 trees for the barn.
B) To determine on which day you will arrive at the town that is 85 miles upriver, we need to calculate the total days required.
You make 15 miles of progress each day but get pushed back 3 miles each night while sleeping. Therefore, you effectively make a net progress of 15 - 3 = 12 miles each day.
To cover a distance of 85 miles, you divide the total distance (85 miles) by the net progress per day (12 miles).
So, 85 miles / 12 miles per day equals approximately 7.08 days.
Since you cannot arrive on a fraction of a day, you need to round up the number of days. Therefore, you will arrive on the 8th day.
C) To measure out exactly 5 quarts of oil using a 10-quart container, a 4-quart container, and a 3-quart container, follow these steps:
1. Fill the 4-quart container to its maximum capacity from the 10-quart container.
2. Pour the 4 quarts of oil from the 4-quart container into the empty 3-quart container. This leaves 6 quarts (10 - 4 = 6) of oil in the 10-quart container.
3. Empty the 3-quart container completely.
4. Transfer the remaining 6 quarts of oil from the 10-quart container into the empty 3-quart container until it becomes full. This leaves 3 quarts of oil in the 10-quart container.
5. Now, pour the 3 quarts of oil from the 3-quart container into the 4-quart container.
6. Finally, fill the 3-quart container from the 10-quart container, and you will have exactly 5 quarts of oil in the 10-quart container.
By following these steps, you can measure out exactly 5 quarts of oil.