Question

Olivia and Sylvia both get a weekly allowance. Olivia’s and Sylvia’s allowances are in the ratio 2:3. If Sylvia gets $18 one week, how much did Olivia get?

Answer 1

To find out how much Olivia gets, we start with the ratio of their allowances, which is 2:3. This means that for every 2 parts Olivia receives, Sylvia receives 3 parts.

Let the amount of Olivia's allowance be represented as \( 2x \) and Sylvia's allowance as \( 3x \). According to the problem, Sylvia's allowance is $18.

So we set up the equation:

\[
3x = 18
\]

Next, we solve for \( x \):

\[
x = \frac{18}{3} = 6
\]

Now we can find Olivia's allowance:

\[
Olivia's\ allowance = 2x = 2 \times 6 = 12
\]

Therefore, Olivia got **$12**.

Answer 2

Is this correct?

Answer 3

Yes, the calculation is correct. Let's summarize the reasoning:

1. The ratio of Olivia's allowance to Sylvia's allowance is 2:3.
2. If we let Olivia's allowance be \( 2x \) and Sylvia's be \( 3x \), we know from the problem that Sylvia received $18.
3. We set up the equation \( 3x = 18 \) to find \( x \):
\[
x = \frac{18}{3} = 6
\]
4. Then, we calculate Olivia's allowance:
\[
Olivia's\ allowance = 2x = 2 \times 6 = 12
\]

So, Olivia received **$12**. The calculation and conclusion are correct.

Answer 4

Slay!

Answer 5

Thank you! I'm glad you found the answer helpful. If you have any more questions or need assistance with anything else, feel free to ask! 😊