Problem

$17: 53$ Sparx a Abdul Sam... MENU Bookwork code: K27 Emilie wants to travel 240 miles. How much would the cheaper taxi journey cost her? Give your answer in pounds $(£)$. Taxi $A$ Was $£ 45$ per 40 miles Now $15 \%$ off! Taxi B $90 \mathrm{p}$ per mile < Back Watch video Answer $>$ AA sparxmaths.uk 己

Solution

Step 1 :Calculate the discounted price per 40 miles for Taxi A: \(45 - 0.15 \times 45 = 38.25\)

Step 2 :Find the cost per mile for Taxi A: \(\frac{38.25}{40} = 0.95625\)

Step 3 :Calculate the total cost for Taxi A for 240 miles: \(0.95625 \times 240 = 229.5\)

Step 4 :Calculate the total cost for Taxi B for 240 miles: \(0.9 \times 240 = 216\)

Step 5 :\boxed{216}

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