Vie wants to make friendship bracelets to sell. She has yellow, blue, and orange beads. She wants each bracelet to have a ratio of 3/10

blue and 1/10
yellow. What would be the remaining ratio of orange beads for each bracelet? Remember to simplify your ratio/fraction.(1 point)

1 answer

To find the remaining ratio of orange beads, we first note the given ratios for blue and yellow beads:

  • Blue beads: \( \frac{3}{10} \)
  • Yellow beads: \( \frac{1}{10} \)

To find the total ratio accounted for by blue and yellow beads, we add these two fractions:

\[ \frac{3}{10} + \frac{1}{10} = \frac{4}{10} \]

This fraction simplifies to \( \frac{2}{5} \).

Now, since the total must equal 1 (or 10/10), we determine the remaining fraction for the orange beads:

\[ 1 - \frac{4}{10} = \frac{10}{10} - \frac{4}{10} = \frac{6}{10} \]

This fraction simplifies to \( \frac{3}{5} \).

Thus, the remaining ratio of orange beads for each bracelet is:

\[ \frac{3}{5} \]

In summary, the ratio of orange beads is \( \frac{3}{5} \).