Question

The table below shows the ratio of materials in a composting container.

Brown Material (gallons) 12.75 18.6 24 E
Green Material (gallons) 4.25 B D 11.5
Total (gallons) A C 32 46


If Jeremy needs 64 gallons of compost to plant his garden in the spring, how much brown material will he need? How much green material will he need?
Jeremy will need 52 gallons of brown material and 12 gallons of green material.
Jeremy will need 16 gallons of brown material and 48 gallons of green material.
Jeremy will need 12 gallons of brown material and 52 gallons of green material.
Jeremy will need 48 gallons of brown material and 16 gallons of green material.

Answer 1

Jeremy will need 48 gallons of brown material and 16 gallons of green material.”

Explanation:

From the table, we can see that the ratio of brown material to green material is consistent. For example, when the total compost is 32 gallons, the brown material is 24 gallons and the green material is 8 gallons. This gives us a ratio of 3:1 for brown to green material.

If Jeremy needs 64 gallons of compost, maintaining the same ratio, he will need 48 gallons of brown material and 16 gallons of green material. So, the correct answer is: “Jeremy will need 48 gallons of brown material and 16 gallons of green material.”

Answer 2

Therefore, Jeremy will need 55.35 gallons of brown material and 2.85 gallons of green material.

Explanation:

To find out how much brown material Jeremy will need, we need to determine the value of variable A in the table. We can do this by adding up the values in the brown material column: 12.75 + 18.6 + 24 = 55.35 gallons.

Next, we need to determine the value of variable C, which represents the total amount of material in the composting container. We can find this by adding up the values in the total column: 32 + 46 = 78 gallons.

Since Jeremy needs a total of 64 gallons of compost, we can set up the following equation: A + C = 64.

Substituting the values we found earlier, we have: 55.35 + C = 64.

To solve for C, we subtract 55.35 from both sides of the equation: C = 64 - 55.35 = 8.65 gallons.

Now that we know the value of C, we can subtract it from the total amount of green material to find out how much green material Jeremy will need. From the table, we can see that the total green material is represented by variable D, which is 11.5 gallons.

Subtracting C from D, we get: D - C = 11.5 - 8.65 = 2.85 gallons.