Year 7 - Q4.5.10
20456
A shop buys \(42\) items at \(2.49\) pounds each and \(58\) items at \(2.51\) pounds each. Find the total mentally by comparing both prices with \(2.50\) pounds. Then find how many of the dearer items must be replaced by cheaper ones to make the total exactly \(250\) pounds, keeping \(100\) items altogether.
Hint
Begin with a hundred items at the midpoint price. Track the one-penny adjustments, then the effect of one replacement.