Final answer:
To solve this problem, set up an equation representing the situation and solve for the unknown variable.
Step-by-step explanation:
To solve this problem using the six-step method, we can set up an equation to represent the situation. Let the number of prescriptions for antibiotics be 'A', and the number of prescriptions for tranquilizers be 'T'. We are given that A = T, and the total number of prescriptions is 56, so we have the equation A + T = 56.
Since A = T, we can substitute A for T in the equation, giving us 2A = 56. Solving for A, we find A = 28. Therefore, the pharmacist had 28 prescriptions for tranquilizers.
Learn more about Solving equations in word problems