Rhianna is baking a cake and some cookies for a party. She used 4 1/2 cups of flour for the cake. For each tray of cookies, she needs 2 1/2 cups of flour. She decides to use at least 15 cups of flour for the cake and the cookies.
Assuming she can make fractional trays of cookies, how many trays, x, can she make? Select the inequality that includes the minimum number of trays of cookies Rhianna can make.
A. x ≤ 4 1/5
B. x ≤ 10 1/2
C. x ≥ 4 1/5
D. x ≥ 10 1/2
The amount of flour Rhianna needs for the cake is 4 1/2 cups.
She needs at least 15 cups of flour for the cake and the cookies, so the remaining amount of flour for the cookies is 15 - 4 1/2 = 10 1/2 cups.
Since each tray of cookies requires 2 1/2 cups of flour, the minimum number of trays she can make is 10 1/2 / 2 1/2 = 4 trays.
So the correct inequality is x ≥ 4 1/5.
Therefore, the correct answer is C. x ≥ 4 1/5.