Final answer:
To find the number of matches in each box, we can set up and solve two equations using the given information. The value of m is equal to 45.
Step-by-step explanation:
To find the number of matches in each box, we can set up the equation: m matches / 30 boxes = x matches per box. Solving for x, we have x = m/30.
Next, we can use the second statement to set up another equation: (m - 3) matches / 32 boxes = x matches per box. Solving for x, we have x = (m - 3)/32.
Setting the two equations equal to each other, we get: m/30 = (m - 3)/32. Cross-multiplying and simplifying, we have 32m = 30(m - 3), which simplifies to 2m = 90. Therefore, m = 45.