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

Answer:

$\dfrac{30x}{24}>\dfrac{450}{24}$

Step-by-step 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 =

$\dfrac{30x}{24}>\dfrac{450}{24}\\\\\Rightarrow \dfrac{30x}{24}>\dfrac{450}{24} = 18.75 \approx 19\\\\\text{Number of cases} > 19$

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