Question

Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case. Write an inequality for the number of cases they go through in 30 days.

Answer 1

`(30x)/(24)>(450)/(24)`

Explanation:

We are given the following in the question:

Let x be the total number of sparkling cans of water used in a day.

The family uses more than 15 cans each day so inequality becomes,

`x > 15`

Number of cans in 30 days

`30x > 450`

The family buys case of water with 24 cans in each case.

Number of cans used in a day is more than 15, so approx number of cans used in 30 days will be =

`(30x)/(24)>(450)/(24)\\\\\Rightarrow (30x)/(24)>(450)/(24) = 18.75 \approx 19\\\\\text{Number of cases} > 19`

Thus, the family buys around 19 cases or more of sparkling water in 30 days.