To determine how much time it will take for Ramani to stitch 135 patterns, let's break the problem down step by step.
1. Time per Pattern: We start by noting that it takes Ramani [tex]\(\frac{1}{4}\)[/tex] of an hour to stitch one embroidery pattern on a sari.
2. Total Patterns: We need to know how many patterns Ramani is required to stitch. In this case, she must stitch a total of 135 patterns.
3. Total Time Calculation: To find out the total time required, we will multiply the time it takes to stitch one pattern by the total number of patterns to be stitched.
[tex]\[ \text{Total time} = \text{Time per pattern} \times \text{Total patterns} \][/tex]
Substituting the given values into the equation:
[tex]\[ \text{Total time} = \frac{1}{4} \text{ hours/pattern} \times 135 \text{ patterns} \][/tex]
4. Simplification: Now we simplify the expression to find the total time.
[tex]\[ \text{Total time} = 0.25 \text{ hours/pattern} \times 135 \text{ patterns} \][/tex]
5. Calculate the Result: When we perform the multiplication:
[tex]\[ \text{Total time} = 33.75 \text{ hours} \][/tex]
Therefore, it will take Ramani 33.75 hours to stitch all 135 patterns on the sari.
