document.write( "Question 1173010: Bianca and her father picked 109 apples. Bianca's father picked 13 more apples than triple the apples Bianca picked. How many apples did each pick? \n" ); document.write( "

Algebra.Com's Answer #798163 by mccravyedwin(407) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Ikleyn below solved the problem using one unknown.  I solve it below using\r\n" );
document.write( "two unknowns. Both ways are equally correct and give the same answers.\r\n" );
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document.write( "As a rule, using 1 unknown is usually SHORTER, but using 2 unknowns is EASIER\r\n" );
document.write( "to set up.  So often it is a \"give-and-take\" situation.

\n" ); document.write( "Bianca and her father picked 109 apples.
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document.write( "Bianca picked x apples.\r\n" );
document.write( "Her father picked y apples. So,\r\n" );
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document.write( "x + y = 109

Bianca's father picked 13 more apples than triple the apples Bianca picked.

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document.write( "y = 3x + 13\r\n" );
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document.write( "The system of equations to solve is\r\n" );
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document.write( "Substituting (3x+13) for y in the first equation:\r\n" );
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document.write( "   <--so Bianca picked 24 apples\r\n" );
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document.write( "Substitute 24 for x in y=3x+13\r\n" );
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document.write( "   <--so Bianca's father picked 85 apples.\r\n" );
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document.write( "Edwin

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