Question

12. Xavier needs to collect at least 83 cans for a food drive. He has already collected 48 cans. a. Write and solve an inequality to represent the number of cans, c, that Xavier must still collect. (Show your work in the space below!)

Answer 1

The total number of cans has to be equal or greater than 83.

The number of cans he collects is equal to the ones that he had already collected (48) plus c.

Then, if the total number of cans collected has to be equal or greater than 83, we can write:

`48+c\ge83`

We can solve this inequality as:

`\begin{gathered} 48+c\ge83 \\ 48+c-48\ge83-48 \\ c\ge35 \end{gathered}`

Answer: c>=35

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