Question

Riley and Rhoda plan to buy 2 bags of dog of food and a dog collar (x). Each bag of dog food costs $7 and the dog collar costs $4.50 they have $30.What is inequality:And solve : Explain what your solution means for Riley and Rhoda :

Answer 1

Let:

T = Total money they have

Dc = Dog collar

x = Number of bags of food

$\begin{gathered} 2x+Dc\le T \\ 2x+4.5\le30 \end{gathered}$

Let's solve the inequality:

$\begin{gathered} 2x+4.5\le30 \\ \text{subtract 4.5 from both sides:} \\ 2x+4.5-4.5\le30-4.5 \\ 2x\le25.5 \\ x\le\frac{25.5}{2} \\ x=12.75\approx12 \end{gathered}$

This means that they can buy 12 bags of food at most.

Since they plan to buy 2 bags of food:

$\begin{gathered} 2(7)+4.5\le30 \\ 14+4.5\le30 \\ 18.5\le30 \end{gathered}$

This means they can do it and have $ 11.5 to spare