Mickey went to Donald Dee's to buy 75 milkshakes for his party. Each milkshake cost the same integer amount of cents. In total, Mickey spent at least $124.00 on milkshakes. What is the smallest possible cost (in cents) of a milkshake?
166
Process:
75 * x ≥ 12400
x ≥ 12400/75 = 165.33333 = 166 (Rounded up because of > sign.)
To find the smallest possible cost of a milkshake, we need to divide the total amount spent on milkshakes by the number of milkshakes.
Given that Mickey bought 75 milkshakes, let's represent the cost of each milkshake in cents as "x."
The total cost of 75 milkshakes can be calculated as 75 * x cents.
And according to the information given, this total cost is at least $124.00, which is 124 * 100 cents.
Therefore, we can write the equation 75 * x ≥ 124 * 100.
To find the smallest possible cost, we need to find the minimum value for x that satisfies this inequality.
First, let's divide both sides of the inequality by 75 to isolate "x."
75 * x / 75 ≥ 124 * 100 / 75, which simplifies to x ≥ 165.333.
Since the cost of a milkshake must be an integer amount of cents, we need to round up the value of x to the nearest integer.
Therefore, the smallest possible cost of a milkshake is 166 cents.