Question

If Bob has $12.75 and plans to purchase snow cones for his friends at $1.25 each, how many snow cones can he buy based on the given inequality?

8.75
12.75−1.25x≥8.75
a) 3.2 snow cones
b) 0, 1, 2, or 3 snow cones
c) 3.1 snow cones
d) 4, 5, or 6 snow cones

Answer 1

Bob can buy either 0, 1, 2, or 3 snow cones with $12.75, such that each snow cone costs $1.25 and he has at least $8.75 remaining.

Step-by-step explanation:

The question involves solving an inequality to find out how many snow cones Bob can buy with $12.75 when each snow cone costs $1.25, with the condition that he must have at least $8.75 left.

The inequality given is: 12.75 - 1.25x ≥ 8.75

To solve for x (the number of snow cones), we need to isolate x on one side of the inequality:

1. Subtract 8.75 from both sides: 12.75 - 8.75 - 1.25x ≥ 8.75 - 8.75
2. Simplify the equation: 4 - 1.25x ≥ 0
3. Divide both sides by -1.25 to solve for x: x ≤ 4 / 1.25
4. Calculate the result: x ≤ 3.2

Since Bob cannot buy a fraction of a snow cone, the number of snow cones he can buy must be a whole number that is less than or equal to 3.2. Therefore, he can buy either 0, 1, 2, or 3 snow cones.