Answer:
[tex]1\frac{1}{15}[/tex] cup of hot sauce is required by Jenkins for the party.
Step-by-step explanation:
We are given the following in the question:
Total number of people in party = 48
9 people requires a serving of [tex]\frac{1}{5}[/tex] cup of hot sauce.
Ration of number of cups of hot sauce to number of people is:
[tex]\dfrac{\text{Number of cups of hot sauce}}{\text{Number of people}} = \dfrac{\frac{1}{5}}{9}=\dfrac{1}{45}[/tex]
Now, we have to find the amount of hot sauce Jenkins need foe the party.
We can calculate it in the following manner:
[tex]\dfrac{\text{Number of cups of hot sauce}}{\text{48}} =\dfrac{1}{45}\\\\\Rightarrow \text{Number of cups of hot sauce} = \dfrac{48}{45} = 1\dfrac{3}{45} = 1\dfrac{1}{15}[/tex]
Thus, [tex]1\frac{1}{15}[/tex] cup of hot sauce is required by Jenkins for the party.
