document.write( "Question 1033632: Nick has 2 cars.
\n" ); document.write( "Car A uses petrol.
\n" ); document.write( "Car B uses diesel.\r
\n" ); document.write( "\n" ); document.write( "Petrol costs £1.39 per litre.
\n" ); document.write( "Diesel costs £1.47 per litre.\r
\n" ); document.write( "\n" ); document.write( "Below shows the average distance that Nick can drive each using 1 litre of fuel:
\n" ); document.write( "Car A- 10.3 miles per litre of petrol
\n" ); document.write( "car B- 14.6 miles per litre of diesel\r
\n" ); document.write( "\n" ); document.write( "Nick is going on a journey in one of his cars.
\n" ); document.write( "The distance Nick is going to drive is 450 miles.
\n" ); document.write( "Work out the difference of the total costs of the fuel for the 2 cars for this journey.\r
\n" ); document.write( "\n" ); document.write( "What I Did:(Question is out of 4 marks and i got only 2)\r
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\n" ); document.write( "\n" ); document.write( "CAR A:
\n" ); document.write( "£1.39 per litre
\n" ); document.write( "10.3 miles.
\n" ); document.write( "450 miles/ 10(estimate)= 45\r
\n" ); document.write( "\n" ); document.write( "CAR B:
\n" ); document.write( "£1.49 per litre
\n" ); document.write( "14.6 miles
\n" ); document.write( "450 miles/15(estimate)=30\r
\n" ); document.write( "\n" ); document.write( "SO then I did:
\n" ); document.write( "1.50*30=£45\r
\n" ); document.write( "\n" ); document.write( "63-45=18
\n" ); document.write( "so I got £18 as the answer
\n" ); document.write( "Where did I lose the 2 marks? Please help me
\n" ); document.write( "

Algebra.Com's Answer #648424 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "the question did not say to estimate.
\n" ); document.write( "the questions said what is the difference.
\n" ); document.write( "you're probably close, but you're certainly not right on.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "let's see what the answer would be if we didn't round the intermediate results.\r
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\n" ); document.write( "\n" ); document.write( "petrol car costs 1.39 per liter and gets 10.3 miles per liter.
\n" ); document.write( "diesel car costs 1.47 per liter and gets 14.6 miles per liter.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "distance traveled is 450 miles.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "cost for petrol car is 450 / 10.3 * 1.39 = 60.72815534 pounds.
\n" ); document.write( "cost for diesel car is 450 / 14.6 * 1.47 = 45.30821918 pounds.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the difference is = 15.41993616 which is 15.42 pounds rounded to 2 decimal places.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you said 18 pounds.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "i suspect you lost 2 marks because you rounded your numbers up front.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "unless you are specifically asked to round your numbers in order to get a rough estimate, you need to use the exact values for the calculations and only round at the end.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your estimate versus the actual difference was about (18/15.42 - 1) * 100 = roughly 17% too high rounded to the nearest percent.
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