Question

Jerome will also order t-shirt for the volunteer he will order both adults and child t-shirt . Adults t-shirt are $5 child t-shirt are $2.50 .Jerome need at least 200 adults t-shirt . Jerome will spend no more than $1500 on t-shirt Write a system of inequality to model this situation use c for child t-shirt and a for adults t-shirt Inequality 1 __________ Inequality 2 ___________

Answer 1

Answer:

$A\geq 200...(1)$

$5A+2.50C\leq 1500...(2)$

Step-by-step explanation:

Let A represent number of adult t-shirts and C represent number of child t-shirts.

We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be $5A$ and cost of C child t-shirts would be $2.50C$.

We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.

We can represent this information in an inequality as:

$A\geq 200...(1)$

We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.

We can represent this information in an inequality as:

$5A+2.50C\leq 1500...(2)$

Therefore, our required system of inequalities would be:

$A\geq 200...(1)$

$5A+2.50C\leq 1500...(2)$