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)

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Answer 1

To determine the remaining ratio of orange beads in the friendship bracelets, we first need to understand the total ratios of the beads:

1. The ratio of blue beads is given as \( \frac{3}{10} \).
2. The ratio of yellow beads is given as \( \frac{1}{10} \).

Adding these two ratios gives us the total proportion of blue and yellow beads:

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

Now, this fraction can be simplified to:

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

Next, the total ratio of all beads must equal 1 (or \( \frac{10}{10} \)). Thus, the remaining ratio for orange beads can be found by subtracting the combined ratio of blue and yellow from 1:

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

So, the remaining ratio of orange beads in each bracelet is \( \frac{3}{5} \).

Final Answer: \( \frac{3}{5} \)