Sure! Let's solve the problem step-by-step.
1. Understand the given information: Mina has [tex]\(\frac{4}{5}\)[/tex] of the flour she needs to make 12 rolls. We need to find the greatest number of rolls she can make with the flour she has.
2. Determine the amount of flour required per roll:
Mina needs enough flour to make 12 rolls. Let's represent the total amount of flour required for 12 rolls as [tex]\(F\)[/tex]. Hence, [tex]\(F\)[/tex] is the required amount for 12 rolls.
3. Calculate the amount of flour Mina has:
Mina has [tex]\(\frac{4}{5}\)[/tex] of [tex]\(F\)[/tex]. This means she has:
[tex]\[
\frac{4}{5} \times F
\][/tex]
4. Find the number of rolls Mina can make:
To find out how many rolls Mina can make with the flour she has, we can set up a proportion. If [tex]\(F\)[/tex] amount of flour is enough to make 12 rolls, then [tex]\(\frac{4}{5} \times F\)[/tex] amount of flour will allow her to make:
[tex]\[
12 \times \frac{4}{5} = 12 \times 0.8 = 9.6
\][/tex]
5. Interpret the result:
Since Mina can’t make a fraction of a roll with the available flour, she can only make whole rolls. So, we need to round down to the nearest whole number. Therefore, the greatest number of rolls she can make is 9.
So, the correct answer is:
(B) 9 rolls
