document.write( "Question 622114: I just need checking if I have answered this question correctly.\r
\n" ); document.write( "\n" ); document.write( "Mary and Ann together receive a total of £306.00 for babysitting. Ann is paid for 14 days work and Mary is paid for 15 days work. Ann's pay for 6 days work is £6 more than Mary gets for 4 days. Work out how much they each earn per day.\r
\n" ); document.write( "\n" ); document.write( "I worked out that over 14 days, Ann would get £20.00 more than Mary over the period. I then gave Mary's earnings as x. So 2x + £20 = £306. x = £143. Therefore, Mary earns £143 and Ann earns £163.\r
\n" ); document.write( "\n" ); document.write( "Thanks.
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Algebra.Com's Answer #391116 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Let anns pay be a and mary's pay be m
\n" ); document.write( "You are told
\n" ); document.write( "\"6a+%2B+6+=+4m\"
\n" ); document.write( "\"%283a%2B3%29%2F2+=+m\"
\n" ); document.write( "You are also told
\n" ); document.write( "\"14a+%2B+15m+=+306\"
\n" ); document.write( "\"14a+%2B+15%28%283a%2B3%29%2F2%29=+306\"
\n" ); document.write( "\"14a+%2B+%2845a%2B45%29%2F2+=+306\" multiply through by 2
\n" ); document.write( "\"28a+%2B+45a+%2B+45+=+612\"
\n" ); document.write( "\"73a+=+567\"
\n" ); document.write( "\"a+=+7.767\" per day
\n" ); document.write( "\"%28%283%2A7.767%29%2B3%29%2F2+=+m\"
\n" ); document.write( "\"13.15+=+m\"
\n" ); document.write( "Check your answer
\n" ); document.write( "is \"14+%2A+7.767+%2B+15%2A13.15+=+306\"??
\n" ); document.write( "\"108.7+%2B+197.25+=+306+\" or close enough to allow for the rounding we did?
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