In a shop, the total cost of two items is (90), and the first item is (14) costlier than the second. What is the graphical solution?

Correct answer: ((52,38))

The direct answer is A: (52,38), with x as the first item’s cost and y as the second item’s cost. The total gives x+y=90. The first is 14 costlier, so x−y=14. Add the equations: 2x=104, hence x=52. Substitute into x+y=90: 52+y=90, so y=38. Thus the graph intersection is (52,38). Option A is correct. Option B reverses the item order and makes the first cheaper by 14. Option C has total 90, but its difference is 10, not 14. Option D also totals 90, but its difference is 18. The words “first” and “second” determine coordinate order. Memory cue: total plus difference gives twice the larger value: x=(90+14)/2=52.