hailey is painting her fence. she estimates she will need 2 quarts of paint for every 7 meters of fence
To calculate how much paint Hailey will need, we need to determine the ratio of quarts of paint needed to meters of fence.
We can set up the proportion using the given information:
2 quarts / 7 meters = X quarts / total meters of fence
To find X, we can cross-multiply and solve for X:
2 quarts * total meters of fence = 7 meters * X quarts
2 * total meters of fence = 7 * X
total meters of fence = (7 * X) / 2
So, Hailey will need (7 * X) / 2 quarts of paint for the total meters of fence.
However, we don't have the total meters of fence specified in the question. If you provide that information, we can calculate the exact amount of paint Hailey will need.
meters = 21
quarts = ____
meters = ____
quarts = 12
meters = 56
quarts = ____
Using the given information, we can calculate the number of quarts needed for each specific length of fence.
When meters = 21:
quarts = (7 * 2) / 2 = 7 quarts
When meters = 56:
quarts = (7 * 4) / 2 = 14 quarts
Therefore, when meters = 21, Hailey will need 7 quarts of paint, and when meters = 56, she will need 14 quarts of paint.
what about 12 quarts and blank meters
To find the number of meters of fence when Hailey needs 12 quarts of paint, we can rearrange the proportion we set up earlier:
2 quarts / 7 meters = 12 quarts / X meters
Cross-multiplying:
2 * X meters = 7 * 12 quarts
2X = 84
X = 84 / 2
X = 42 meters
Therefore, when Hailey needs 12 quarts of paint, she will be painting a fence that is 42 meters long.