Final answer:
The Reese's milkshake contains 111 calories, calculated by solving the equation: 87 = 5V - 24 and finding that V equals 22.2. Multiplying 22.2 by 5 gives us the calorie count of the milkshake.
Step-by-step explanation:
To calculate the number of calories in a Reese's milkshake, we begin with the given information that one Reese's peanut butter cup has approximately 87 calories, which is 24 calories less than five times the number of calories in a Reese's milkshake. We can write this relationship as an equation: 87 = 5V - 24, where V represents the number of calories in the milkshake. Solving for V involves adding 24 to both sides of the equation and then dividing by 5:
- Add 24 to both sides: 87 + 24 = 5V, which simplifies to 111 = 5V.
- Divide both sides by 5: 111 / 5 = V, which simplifies to 22.2.
Since 22.2 is the value of V and we know that one Reese's peanut butter cup has 87 calories, which is 24 less than 5 times V, we can determine that the milkshake has 5 times 22.2 calories. Therefore, the calorie content of the milkshake is 111 calories, which matches option a from the choices provided.