Anne Mary makes 1 3/4 pounds of Trail Mix and packages it into 2/3 pound bags share with her friends how many bags of Trail Mix does she have? Using a tape diagram.
1.75 / 0.66667 = _____ bags
To solve this problem using a tape diagram, you will need to visually represent the quantities involved. Start by drawing a rectangle to represent the total amount of trail mix Anne Mary has, which is 1 3/4 pounds.
Next, divide the rectangle into equal sections that represent the bags of trail mix, which each weigh 2/3 pound. Since we are trying to find the number of bags, we can leave this section blank for now.
Now, we know that the total weight of the trail mix is 1 3/4 pounds, and each bag weighs 2/3 pound. We can set up a ratio to determine the number of bags she has:
1 3/4 pounds : 2/3 pound
To compare two ratios, you can cross-multiply and solve for the missing value. Let's label the number of bags as "B":
(1 3/4 pounds) / (2/3 pound) = (B bags) / 1
To cross-multiply:
(1 3/4 pounds) * 1 = (B bags) * (2/3 pound)
7/4 pounds = 2/3 * B bags
Now, to solve for B, we need to isolate it. We can do this by multiplying both sides by the reciprocal of (2/3 pound):
(7/4 pounds) / (2/3 pound) = B bags
Now, let's simplify the left side of the equation:
(7/4 pounds) * (3/2 pound) = B bags
Multiplying the numerators and denominators:
(7 * 3) / (4 * 2) = B bags
21/8 = B bags
So, Anne Mary has 21/8 bags of trail mix.