Question

If $x is shared between Shantel and Omari in the ratio 3:7 respectively, what is Shantel's share in dollars?

A) $\frac{x}{10}$
B) $\frac{3x}{10}
C) $\frac{7x}{3}$
D) $\frac{3x}{7}$

Answer 1

Shantel's share is calculated by dividing her part of the ratio (3 parts) by the total number of parts (10 parts), giving Shantel $\frac{3x}{10}$ of the total amount $x.

Step-by-step explanation:

If $x is shared between Shantel and Omari in the ratio 3:7 respectively, we first need to determine what part of the total amount each person gets. The total parts are 3 for Shantel plus 7 for Omari, which equals 10 parts in total.

To find Shantel's share, we divide her ratio number by the total number of parts. Therefore, Shantel's share is \(\frac{3}{3+7} = \frac{3}{10}\) of $x.

So, Shantel's share in dollars is \(\frac{3x}{10}\), which makes option B the correct answer.