Question

If every 2 out of 3 ready-made shirts need alterations in the sleeves, 3 out of 4 ready-made shirts need alterations in the collar, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts?

• A. 88
• B. 123
• C. 133
• D. 143

Answer 1

The Correct Option is C

To determine the total number of alterations required for 60 shirts, calculate the alterations for sleeves, collars, and bodies separately, then sum them up. Here's how:

Step-by-step Calculation:

1. For sleeves: Every 2 out of 3 shirts need sleeve alterations.
   Number of sleeve alterations = (²/₃) × 60 = 40.
2. For collars: Every 3 out of 4 shirts require collar alterations.
   Number of collar alterations = (³/₄) × 60 = 45.
3. For body: Every 4 out of 5 shirts require body alterations.
   Number of body alterations = (⁴/₅) × 60 = 48.

Total Alterations: Add the alterations required for sleeves, collars, and body.
40 (sleeves) + 45 (collars) + 48 (body) = 133 alterations.

Thus, the number of alterations required for 60 shirts is 133.