There are cups of sugar in a canister in the kitchen.

Ms. Johnson used of the sugar when she baked a
birthday cake. How much sugar did she use?
Show/explain all steps needed to get to the correct
answer! (3 points)
7
8
1

1 answer

To determine how much sugar Ms. Johnson used when she baked a birthday cake, we can follow these steps based on the information provided. It looks like you might be dealing with a fraction of the total cups of sugar in the canister.

Given:

  • Total cups of sugar in the canister = \( \frac{7}{8} \) cups (assuming you meant to write \( \frac{7}{8} \) but only had "7", "8", "1" listed)

Step 1: Identify the fraction of sugar used.

Since it seems you want to calculate how much sugar Ms. Johnson used, we need to clarify that “used” typically means we take away part of the total.

Step 2: Write the equation.

If Ms. Johnson used \( \frac{1}{8} \) of the sugar in the canister, then we would write:

\[ \text{Sugar used} = \text{Total sugar} \times \text{Fraction used} \]

Assuming she used the entire \( \frac{7}{8} \) of the sugar in the canister, we calculate:

\[ \text{Sugar used} = \frac{7}{8} \times 1 = \frac{7}{8} \]

Step 3: Calculate the amount used.

  1. Assuming she used \( \frac{1}{8} \) of the total:

    • If she used \( \frac{1}{8} \) from a total of \( \frac{7}{8} \), \[ \text{Sugar used} = \left( \frac{7}{8} \right) \times \left( \frac{1}{8} \right) = \frac{7}{64} \text{ cups} \]
  2. Assuming she used \( \frac{7}{8} \) directly:

    • If she utilized the entire \( \frac{7}{8} \): \[ \text{Sugar used} = \frac{7}{8} \text{ cups} \]

Conclusion

To summarize, if Ms. Johnson used the entire \( \frac{7}{8} \) of the sugar in the canister, then she used \( \frac{7}{8} \) cups of sugar. Alternatively, if it was meant that she used \( \frac{1}{8} \) of the total, that would mean she used \( \frac{7}{64} \) cups of sugar.

Please confirm which scenario applies for a precise answer!