In a shop, the total cost of two items is (126), and the first item is (18) costlier than the second. What is the graphical solution?

Correct answer: ((72,54))

The direct answer is option A, (72,54), where x is the cost of the first item and y is the cost of the second item. The total cost gives x+y=126. Since the first item is 18 costlier, x-y=18. Add the equations: 2x=144, so x=72. Substitute into x+y=126: 72+y=126, hence y=54. Therefore the two graph lines intersect at (72,54). Option A satisfies both conditions: 72+54=126 and 72-54=18. Option B, (54,72), makes the first item 18 cheaper, not costlier. Option C, (70,56), has total 126 but difference 14. Option D, (74,52), has total 126 but difference 22. The order matters because the question specifically calls the first item more expensive. Memory cue: for “first is more than second,” write x-y=the extra amount, not y-x.