Nate and Rey have identical rectangular models. They are supposed to shade equivalent fractions of their models. Nate divides his model into 8 equal sections and shades 6 sections. Rey divides his model into 12 equal sections.
How many sections should Rey shade in his model?
Responses
A 66
B 88
C 1010
D 9
1 answer
Since Nate shaded 6 out of 8 sections, he shaded $\frac{6}{8}$ of his model. To find the equivalent fraction, Rey should shade, we can set up the proportion $\frac{6}{8} = \frac{x}{12}$, where $x$ represents the number of sections Rey should shade. Solving for $x$ gives $x = \frac{6}{8} \cdot 12 = 9$. So, Rey should shade $\boxed{\text{(D)}\ 9}$ sections of his model.
1 answer