2/3 of my basket is full of grapes..the grapes weigh 3/4 of a pound... How much will the grapes weigh when my basket is full.
weight of full basket --- x
(2/3)x = 3/4
solve for x
To figure out how much the grapes will weigh when the basket is full, you'll need to multiply the weight of the grapes in the basket by the ratio of the fullness of the basket.
First, let's find out the weight of the grapes in the basket. We know that 2/3 of the basket is full of grapes, and the weight of the grapes is 3/4 of a pound. To calculate the weight of the grapes in the basket, multiply the weight of the grapes by the fraction representing the fullness of the basket:
Weight of the grapes in the basket = (2/3) * (3/4) = 6/12 = 1/2 pound.
Now that we know the weight of the grapes when the basket is 2/3 full, we need to find out the weight of the grapes when the basket is full.
Since the basket is 2/3 full of grapes, it means there is 1/3 of the basket space remaining for more grapes. This remaining space represents 1 - 2/3 = 1/3.
To determine the weight of the grapes when the basket is full, divide the remaining space by the weight of the grapes in the basket:
Weight of the grapes when the basket is full = (1/3) * (1/2) = 1/6 pound.
Therefore, the grapes will weigh 1/6 of a pound when your basket is full.