Questions: Vicky makes jewelry. She uses 42 beads for each necklace that she makes, and she has 500 beads. How many necklaces can she make? Explain.

Solution Steps

To find out how many complete necklaces Vicky can make, we need to divide the total number of beads by the number of beads required for each necklace. This can be expressed mathematically as:

\[ \text{Number of necklaces} = \left\lfloor \frac{\text{Total beads}}{\text{Beads per necklace}} \right\rfloor \]

Substituting the given values:

\[ \text{Number of necklaces} = \left\lfloor \frac{500}{42} \right\rfloor \]

Calculate the division:

\[ \frac{500}{42} \approx 11.9048 \]

Since Vicky can only make complete necklaces, we take the floor of the division result:

\[ \left\lfloor 11.9048 \right\rfloor = 11 \]

Final Answer