Your grandmother wants to spend at least $40 but no more than $60 on school clothes for you. t-shirts sell for $10 and pants sell for $20. how many t-shirts and pants could she buy?
write a system of two inequalities that describes the situation.
write two possible solutions to the problem.

Part a) The system of two inequalities that describe the situation is

 and  

Part b) Two possible solutions are the points (2,2) and (2,1)

Step-by-step explanation:

step 1

Find the system of inequalities

Let

x------> the number of t-shirts

y----> the number of pants

we know that

-----> inequality A

------> inequality B

using a graphing tool

The solution of the system of inequalities are all positive whole numbers in the shaded area

see the attached figure

step 2

Find two possible solutions

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Two possible solutions are the points (2,2) and (2,1)

1) (2,2) -------> two t-shirts and two pants

substitute in both inequalities

Inequality A

------> is true

Inequality B

----> is true

therefore

the ordered pair (2,2) is a possible solution

2) (2,1) -------> two t-shirts and one pant

substitute in both inequalities

Inequality A

------> is true

Inequality B

----> is true

therefore

the ordered pair (2,1) is a possible solution

f is the midpoint of