In a shop, the total cost of two items is (154), and the first item is (22) costlier than the second. What is the graphical solution?

Correct answer: ((88,66))

The direct answer is option A: the graphical solution is (88,66), where x is the price of the first item and y is the price of the second item. Let the prices be x and y. Their total is 154, so x+y=154. The first item is 22 costlier, so x-y=22. Add the equations: 2x=176, giving x=88. Put this into x+y=154: 88+y=154, so y=66. Thus the two graphs intersect at (88,66). Option A is correct because 88+66=154 and 88-66=22. Option B, (66,88), has the correct total but makes the first item 22 cheaper, not costlier. Option C, (87,67), totals 154 but the difference is 20, not 22. Option D, (90,64), totals 154 but the difference is 26. A graphical solution is the common point of the two lines, so both equations must be checked, not just the total. Memory cue: for “total” and “first is more,” use x+y and x-y, then add them.