Question

Roger is having a picnic for 78 guests. He plans to serveeach guest at least one hot dog. If each package, p, containseight hot dogs, which inequality could be used to determinehow many packages of hot dogs Roger will need to buy?n> 78

Answer 1

He is planning a picnic for 78 guests. He plans to serve each guest at least one hot dog. This means the hot dog should be at least 78 hot dogs.

Each package P contains 8 hot dogs . Since we know the guest needs at least 78 hot dogs the packages available should contain at least 78 hot dogs. Therefore,

$\begin{gathered} 8\text{ hot dogs=1 package} \\ 78\text{ hot dogs=? } \\ \text{cross multiply} \\ nu\text{mber of packages=}\frac{78}{8}=9.75\text{ packages}\approx10\text{ packages} \\ p=10\text{ packages} \end{gathered}$

The inequality that can be used to represent how many packages of hot dogs he need to buy can be expressed below

$p\ge10$