karen collects 6/7 quart of rainwater. she uses 1/2 of the water to clean her bicycle and uses the remaining water equally for 3 houseplants. What volume of water does she use for each houseplant?
((6/7)/2)/3 = 1/7
To find the volume of water Karen uses for each houseplant, we need to subtract the amount of water she used to clean her bicycle from the total amount collected.
Karen collects 6/7 quart of rainwater.
She uses 1/2 of the water to clean her bicycle. So, 1/2 * 6/7 = 3/14 quart of water is used to clean her bicycle.
To find the remaining water, we subtract the amount used to clean the bicycle from the total amount collected: 6/7 - 3/14 = (12/14) - (3/14) = 9/14 quart of water.
Since the remaining water is divided equally among 3 houseplants, we need to divide 9/14 quart of water by 3.
Dividing 9/14 by 3, we get: (9/14) ÷ 3 = (9/14) * (1/3) = 9/42 = 3/14 quart of water for each houseplant.
Therefore, Karen uses 3/14 quart of water for each houseplant.