Arya is making a fruit salad for a school competition. For each bowl \(\frac{3}{10}\) cup of mangoes is mixed with a whole bowl.
To prepare several batches quickly, she multiplies the ingredients in different order.
She observes that:
1. Product of fraction by a whole number greater than \(1\) increases the amount of salad.
2. The change in the order of multiplication does not changes the result.
\(\text{Identify the reasoning behind the given questions.}\)
a. Arya decided to make \(18\) bowls of fruit salad. How much mangoes are needed?
b. Arya tries to calculate total fruit needed for \(18\) bowls, each requiring \(3\) variety of fruit. Which of the following is correct?
c.To prepare bigger batches she tries the calculation \(\frac{3}{10} \times 18 \times 4 \). How can it be rearranged?
d. Arya said: Multiplying \(\frac{3}{10}\) by a whole number greater than \(1\), the product increases. Which option correctly supports the claim?