document.write( "Question 1210397: Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.
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Algebra.Com's Answer #852218 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "Andrew bought some apples and pears. The ratio of the number of apples bought to the number of pears bought was 7:4. He spent $61.20. He paid $22.80 more for the apples than the pears. Each apple was $0.30 more than each pears.\r\n" );
document.write( "(a) How much did he spend on the pears?\r\n" );
document.write( "(b) How many pears did he buy?\r\n" );
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document.write( "Let multiplicative factor be x\r\n" );
document.write( "As ratio of apples to pears is 7:4, number of apples and pears purchased = 7x and 4x, respectively\r\n" );
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document.write( "Let amount spent on pears be p\r\n" );
document.write( "Since $22.80 more was spent on apples than pears, then amount spent on apples = p + $22.80\r\n" );
document.write( "A total of $61.20 was spent, so we then have: p + p + 22.8 = 61.2\r\n" );
document.write( "                                                        2p = 61.2 - 22.8\r\n" );
document.write( "                                                        2p = 38.4\r\n" );
document.write( "                        p, or amount spent on pears =  \r\n" );
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document.write( "Since $19.20 was spent on “4x” pears, then cost of each pear = \r\n" );
document.write( "As $19.20 was spent on pears, $61.20 - $19.20, or $42 was spent on “7x” apples, and so, each apple cost \r\n" );
document.write( "Now, since each apple was $0.30 more than each pear, we get:   \r\n" );
document.write( "                                                             6 = .3x + 4.8 ---- Multiplying by LCD, x \r\n" );
document.write( "                                                       6 - 4.8 = .3x\r\n" );
document.write( "                                                           1.2 = .3x                                                             \r\n" );
document.write( "                            x, or multiplicative factor = \r\n" );
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document.write( "Number of pears purchased: 4x = 4(4) = 16

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