Jake is making bracelets to give to his sisters. He uses 4 rainbow charms and 8 white star charms for his younger sister's bracelet. He makes his older sister's bracelet a little bigger, so he uses 5 rainbow charms and 10 white star charms. Does Jake use the same ratio of rainbow charms to white star charms in both bracelets?

Question

Yes or no?

Answer 1

To determine if Jake uses the same ratio of rainbow charms to white star charms in both bracelets, we can calculate the ratio for each bracelet.

For the younger sister's bracelet:

• Rainbow charms: 4
• White star charms: 8

The ratio of rainbow charms to white star charms is: \[ \text{Ratio} = \frac{4 \text{ (rainbow charms)}}{8 \text{ (white star charms)}} = \frac{4}{8} = \frac{1}{2} \]

For the older sister's bracelet:

• Rainbow charms: 5
• White star charms: 10

The ratio of rainbow charms to white star charms is: \[ \text{Ratio} = \frac{5 \text{ (rainbow charms)}}{10 \text{ (white star charms)}} = \frac{5}{10} = \frac{1}{2} \]

Since both ratios are \( \frac{1}{2} \), Jake does use the same ratio of rainbow charms to white star charms in both bracelets.

So, the answer is Yes.