Question

Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, Mario can afford to buy.

Answer 1

`\begin{gathered} 2.90b+4.75\le39.55 \\ b\le12 \end{gathered}`

Step-by-step explanation

Each hamburger costs $2.90 and the hamburger roll costs $4.75

Let the number of hamburgers bought be b.

This means that b hamburgers cost:

`2.90b\text{ dollars}`

Mario has $39.55 to spend.

Therefore, the total cost of hamburgers and the hamburger roll must be less than or equal to $39.55.

That is:

`2.90b+4.75\le39.55`

Now, solve for b in the inequality:

`\begin{gathered} 2.90b\le39.55-4.75 \\ 2.90b\le34.8 \\ \Rightarrow b\le(34.8)/(2.90) \\ b\le12 \end{gathered}`

This means that Mario can afford to buy at most 12 hamburgers.