A pencil and eraser together cost 55 cents. The pencil costs 50 cents more than the eraser. How much does the eraser costs

The answer is 5 cents. To get this answer you subtract the cost of the pencil from the total cost, and that gives you the price of the eraser.

55 (total cost) - 50 (cost of pencil) = .05 cents (cost of eraser)

for part A) you should probably graph the systems. since the inequality signs are ≤ and ≥ both lines should be solid lines. the direction of the shading will be done according to the sign of the inequality. for "description of the solution set" they're looking for something like "the area under and above " where the appropriate inequalities go into the blanks

for part B), to determine whether (5,1) is in the solution area, simply let x = 5 and y = 1 and see whether both inequalities are satisfied or not. alternatively just look at the graph you made from part A) and see if (5,1)'s in the shaded area or not

for part C) you just need to pick a point within the solution set (since x and y are the numbers of sandwich lunches/hot dog lunches, you want to select integer solutions only)

then state something like "the point (__,__) within the solution set means he can buy ___ sandwich lunches and ___ hot dog lunches without going over his budget"

Step-by-step explanation:

Hope this helps, and have a good day :)

(brainliest?)