Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

michael made 5 identical necklaces, each having beads and a pendant. th…

Question

michael made 5 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 5 necklaces was $30.50. if the beads cost $3.60 for each necklace, how much did each pendant cost?

Explanation:

Step1: Find total cost of beads for 5 necklaces

Each necklace's beads cost \$3.60, so for 5 necklaces, beads cost \( 5 \times 3.60 = 18.00 \) dollars.

Step2: Find total cost of pendants for 5 necklaces

Total cost for all (beads + pendants) is \$30.50. Subtract beads' total cost: \( 30.50 - 18.00 = 12.50 \) dollars (total pendants cost for 5 necklaces).

Step3: Find cost per pendant

Divide total pendants cost by number of pendants (5, since 5 necklaces, 1 pendant each): \( \frac{12.50}{5} = 2.50 \) dollars.

Answer:

\$2.50