For each bracelet Julie makes, she uses 5 green beads, 6 red beads, and 7 white beads. How many bracelets can she make? Color of Beads Number of Beads green 1,012 red 998 white 1,057 (1 point) Responses 519 bracelets 519 bracelets 202 bracelets 202 bracelets 166 bracelets 166 bracelets 151 bracelets

1 answer

To find out how many bracelets Julie can make, we need to determine how many sets of beads she can create with her available beads, given that each bracelet requires a specific number of beads in each color.

For each bracelet, the bead requirements are:

  • 5 green beads
  • 6 red beads
  • 7 white beads

Now, let's calculate how many complete bracelets can be made based on the available beads.

  1. Green beads:

    • Available: 1,012
    • Required per bracelet: 5
    • Maximum bracelets from green beads = 1,012 ÷ 5 = 202.4 (we take the integer part, so she can make 202 bracelets)
  2. Red beads:

    • Available: 998
    • Required per bracelet: 6
    • Maximum bracelets from red beads = 998 ÷ 6 = 166.33 (we take the integer part, so she can make 166 bracelets)
  3. White beads:

    • Available: 1,057
    • Required per bracelet: 7
    • Maximum bracelets from white beads = 1,057 ÷ 7 = 151 (we take the integer part, so she can make 151 bracelets)

Now, we need to find the limiting factor, which is the color of bead that allows for the fewest number of bracelets:

  • Green: 202 bracelets
  • Red: 166 bracelets
  • White: 151 bracelets

The limiting factor is the white beads, which allow for a maximum of 151 bracelets.

Therefore, Julie can make 151 bracelets.