Seema’s Basket Weaving Proportional Relationships and Time Calculation

Seema is a skilled basket weaver who weaves 25 baskets in 35 days. This efficient rate helps us determine how long it would take her to weave 110 baskets. By understanding proportional relationships, we can calculate the time needed to accomplish a specific amount of work.

Understanding Proportional Relationships

Basket weaving is a craft that often involves proportional relationships. The number of days it takes to weave a certain number of baskets is directly proportional to the number of baskets being woven. This means that if Seema weaves 25 baskets in 35 days, she can weave 1 basket in (frac{35}{25}) days, which simplifies to (frac{7}{5}) days per basket. This rate then allows us to find out how many days are required to weave 110 baskets.

Calculating the Time for 110 Baskets

To find the number of days required to weave 110 baskets, we use the same proportional relationship. We multiply the number of baskets by the number of days per basket: [frac{35 text{ days}}{25 text{ baskets}} times 110 text{ baskets} frac{35 times 110}{25}]

Let's simplify this step by step:

Therefore, Seema will need 154 days to weave 110 baskets.

Alternative Methods

There are a few alternative methods to calculate the same result:

First method:
25 baskets in 35 days
110 baskets in ? days
110 (times) (frac{35}{25}) 154 days

Second method:
25 baskets 35 days
1 basket (frac{35}{25}) days
110 baskets (frac{35 times 110}{25}) 154 days

Third method:
Since 25 baskets in 35 days, more baskets mean more days. The relationship is directly proportional. [text{No. of days} frac{35 times 110}{25} 154 text{ days}]

Conclusion

The proportional relationship between the number of baskets and the number of days is crucial in understanding the efficiency and time management of Seema's work. By mastering this concept, we can easily solve similar problems involving proportional relationships in various real-world scenarios.