Best friends, Olivia and Sylvia both get a weekly allowance. Olivia and Sylvia’s allowance are in the ratio of 2 to 3 if Sylvia gets $21 one week how much did Olivia get?
If the ratio of Olivia's allowance to Sylvia's allowance is 2:3, then Olivia gets 2/3 of what Sylvia gets.
If Sylvia gets $21, then Olivia gets 2/3 * $21 = $<<2/3*21=14>>14. Answer: \boxed{14}.
To find out how much Olivia got, you can set up a proportion based on the ratio of their allowances.
The ratio of Olivia's allowance to Sylvia's allowance is 2:3, which can also be written as 2/3.
Since Sylvia got $21, we can set up the proportion:
2/3 = x/21
To solve for x (the amount Olivia got), we can cross-multiply:
(2 * 21) = (3 * x)
42 = 3x
To find the value of x, divide both sides of the equation by 3:
42/3 = x
14 = x
Therefore, Olivia got $14.
To find out how much Olivia got, we can use the concept of ratios.
Given that the ratio of Olivia's allowance to Sylvia's allowance is 2 to 3, we can set up the equation:
2/3 = Olivia's allowance / Sylvia's allowance
Since we know Sylvia's allowance is $21, we can substitute that value into the equation:
2/3 = Olivia's allowance / $21
To isolate Olivia's allowance, we can cross-multiply:
2 * $21 = 3 * Olivia's allowance
$42 = 3 * Olivia's allowance
To find Olivia's allowance, we can divide both sides of the equation by 3:
$42 / 3 = Olivia's allowance
Olivia's allowance would be $14.