Sydney wants to make 15 beaded rings for a craft show. She needs 60 beads for each ring. She has 852 beads. Does Sydney have enough beads to make 15 complete rings? Explain your answer. Include all work used to determine if she has enough beads.

Answer 1

To determine if Sydney has enough beads to make 15 complete rings, we need to first calculate the total number of beads required for all 15 rings.

1. Calculate the total number of beads needed: \[ \text{Total beads needed} = \text{Number of rings} \times \text{Beads per ring} \] \[ \text{Total beads needed} = 15 \text{ rings} \times 60 \text{ beads/ring} \] \[ \text{Total beads needed} = 900 \text{ beads} \]

2. Compare the total beads needed to the beads Sydney has:

   • Sydney has 852 beads.
   • The total number of beads needed is 900 beads.

3. Conclusion:

   • Since 852 beads (the amount Sydney has) is less than 900 beads (the amount needed), Sydney does not have enough beads to make 15 complete rings.

4. Summary:

   • Total beads required: 900 beads
   • Total beads available: 852 beads
   • Result: Not enough beads (Deficit: 900 - 852 = 48 beads).

Therefore, Sydney cannot make 15 complete rings with the beads she has.