Final answer:
The ratio of the number of Shopkins Julie to Anya owns is 5:4. Julie has 30 Shopkins, so by setting up a proportion and solving for Anya's number of Shopkins, we find that Anya owns 24 Shopkins.
Step-by-step explanation:
The student wants to determine the number of Shopkins that Anya owns based on the ratio given for Julie and Anya's Shopkins.
The ratio of the number of Shopkins Julie owns to the number of Shopkins Anya owns is 5:4. If Julie owns 30 Shopkins, we set up a proportion to find out how many Shopkins Anya owns:
Let the number of Shopkins Anya owns be represented by x.
The ratio can be written as a fraction and set equal as follows:
\( \frac{5}{4} = \frac{30}{x} \)
To solve for x, cross multiply:
\( 5 \times x = 4 \times 30 \)
\( 5x = 120 \)
Divide both sides by 5:
\( \frac{5x}{5} = \frac{120}{5} \)
\( x = 24 \)
Therefore, Anya owns 24 Shopkins.