HELP PLEASE Maria wants to buy shirts and pants for all her 18 cousins. She has $180 in total to buy shirts for $9 each and pants for $15 each. If Maria spends all her money how many shirts and pants can she buy? Set up a system of equations and show all your work. Use any method.

Try this suggested option:

Step-by-step explanation:

1) if Maria has 180USD, then the maximum number of the pants she can buy is 180/15=12 (in this case number of the shirts is 0) and the maximum number of the shirts is 180/9=20 (and in this case number of the pants is 0).

If suppose the number of the pants is 'p' and of the shirts is 's', then

0 ≤p ≤12 - the 1st line in the system;

0 ≤s ≤20 - the 2d in the system.

2) according to the condition Maria has only 180 (USD), she can buy any number of 's' and 'p', this can be written as:

9s+15p = 180 - the 3d line in the system.

3) if to set up the required system, then (note, 's' and 'p' ∈Z):

4) if to solve this system, only five pairs of s&p exist. They are:

0 shirts and 12 paints;

5 shirts and 9 paints;

10 shirts and 6 paints;

15 shirts and 3 paints;

20 shirts and 0 paints.

According to the condition Maria wants to buy s&p for all her 18 cousins, then the pair '15 shirts and 3 paints' is the best choice.

15 shirts and 3 paints

PS. for more details see the attached graph, note the five pairs are marked with orange colour as points A, B, C, D and E.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c