Question

Vie wants to make friendship braces 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 bees for each bracelet remember to simplify your ratio / fraction

Answer 1

To determine the ratio of orange beads for each bracelet, we first need to understand the ratios given for blue and yellow beads.

The provided ratios are:
- Blue: \(\frac{3}{10}\)
- Yellow: \(\frac{1}{10}\)

Adding these two ratios together:

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

This simplifies to:

\[
\frac{4}{10} = \frac{2}{5}
\]

Now, since the total ratio must equal 1 (or \(\frac{10}{10}\)), we can find the remaining proportion for orange beads by subtracting the sum of the blue and yellow ratios from 1:

\[
1 - \frac{2}{5} = \frac{5}{5} - \frac{2}{5} = \frac{3}{5}
\]

Thus, the ratio of orange beads is:

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

Now, let's summarize the ratios for each bracelet:
- Blue: \(\frac{3}{10}\)
- Yellow: \(\frac{1}{10}\)
- Orange: \(\frac{3}{5}\)

All ratios together should sum to 1:

\[
\frac{3}{10} + \frac{1}{10} + \frac{3}{5} = \frac{3}{10} + \frac{1}{10} + \frac{6}{10} = \frac{10}{10} = 1
\]

The remaining ratio of orange beads is \(\frac{3}{5}\), which is already in its simplest form.