Question

Franklin opened a 30-cup bag of sugar at the start of his shift at the Rainbow Rings donut

shop. He used 4 cups in each batch of donuts he made. When he was done making donuts,
Franklin used the remaining 6 cups of sugar to make a glaze to dip them in.
Which equation can you use to find d, the number of batches of donuts Franklin made?
A.4d - 6 = 30
B.4d + 6 = 30
C.6d+ 4 = 30
D.6d - 4 = 30

Answer 1

The correct equation to find the number of batches of donuts Franklin made is Option B) 4d + 6 = 30.

This equation takes into account the 4 cups of sugar used per batch and the 6 cups used for the glaze out of the 30-cup bag of sugar.

Step-by-step explanation:

To find d, the number of batches of donuts Franklin made, we need to create an equation based on the information provided.

Franklin started with a 30-cup bag of sugar.

He used 4 cups of sugar for each batch of donuts and then used the remaining 6 cups to make a glaze.

Therefore, the total sugar used for the donuts is 30 cups minus the 6 cups used for the glaze, which equals the sugar used in the donut batches.

The correct equation to represent this situation is 4d + 6 = 30.

The 4d represents the sugar used for the batches (4 cups per batch times the number of batches, d).

The + 6 represents the sugar used for the glaze, and 30 is the total amount of sugar.

Step-by-step solution:

1. Franklin uses 4 cups of sugar per batch: 4 cups/batch.
2. Franklin used the remaining sugar for glaze: 6 cups for glaze.
3. Total sugar available: 30 cups.
4. Equation representing the situation: 4d + 6 = 30.
5. To solve for d, subtract 6 from both sides: 4d = 24.
6. Divide by 4: d = 6.

Franklin made 6 batches of donuts.