Question 7

Sienna has 256 DVDs.

To determine how many DVDs Sienna has, we first need to calculate how many DVDs Teri has. Since Robert has half as many DVDs as Teri and he has 32 DVDs, Teri must have 64 DVDs. Given that Sienna has four times as many DVDs as Teri, she has 256 DVDs.

A) 4

This option is incorrect as it significantly underestimates the number of DVDs Sienna possesses. Based on the calculations, Sienna's DVD count derived from Teri's is far greater than 4.

B) 16

This option is also incorrect. Although it is a higher number than 4, it still does not reflect the accurate count derived from the relationship between Sienna's and Teri's DVDs.

C) 64

This choice is incorrect as well. While it matches Teri's DVD count, Sienna has four times as many DVDs as Teri, which should lead to a much larger total.

D) 256

This option is correct. Since Teri has 64 DVDs and Sienna has four times that amount, the correct calculation is 4 x 64, which equals 256 DVDs.

Conclusion

The correct answer is 256 DVDs, as derived from the relationships between the quantities of DVDs owned by Sienna, Teri, and Robert. The other options fail to account for the multiplication factor indicated in the problem and do not align with the correct calculations.