Two courier firms quote prices for a Saturday delivery round. Fastlane's price is \(C = 4n + 6\) and Roadrunner's price is \(C = 5.5n\), with \(C\) in pound...
Question 1 Report
Two courier firms quote prices for a Saturday delivery round. Fastlane's price is \(C = 4n + 6\) and Roadrunner's price is \(C = 5.5n\), with \(C\) in pounds for \(n\) parcels carried on the round. Find the value of \(n\) for which the two firms charge exactly the same amount. (3)
Answer Details
Two pricing formulae charge the same amount exactly when they are set equal to each other; collecting the \(n\) terms on one side and the constants on the other then isolates \(n\).
\(4n+6=5.5n\) [1 mark]
Rearranging: \(6=1.5n\) [1 mark]
\(n=4\) [1 mark]
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