Question

the policy at a certain buffet is to have 19 desserts for every 16 people. if they plan for 320 people, how many desserts should they have?

Answer 1

Given that the buffet is to have 19 desserts for every 16 people.

Let's find the number of desserts they should have if they plan for 320 people.

19 desserts = 16 people

x desserts = 320 people

Therefore, we have:

`\begin{gathered} (19)/(16)=(x)/(320) \\ \\ \text{Cross multiply:} \\ \\ 16x\text{ = 320 }\ast\text{ 19} \\ \\ 16x\text{ = }6080 \end{gathered}`

Divide both sides by 16:

`\begin{gathered} (16x)/(16)=(6080)/(16) \\ \\ x\text{ = }380 \end{gathered}`

Thereore, they should have 380 desserts if they plan for 320 people.

ANSWER:

380 desserts