document.write( "Question 1089060: A store is having a sale on almonds and jelly beans. For 8 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of almonds and each pound of jelly beans. \n" ); document.write( "
Algebra.Com's Answer #703418 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! For 8 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. \n" ); document.write( " For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. \n" ); document.write( " Find the cost for each pound of almonds and each pound of jelly bean \n" ); document.write( ":\ \n" ); document.write( "\ \n" ); document.write( "let a = price of 1 lb of almonds \n" ); document.write( "let j = price of 1 lb of jb \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( "8a + 2j = 12 \n" ); document.write( "3a + 8j = 31 \n" ); document.write( "Multiply the 1st equation by 4,subtract the 2nd equation \n" ); document.write( "32a + 8j = 48 \n" ); document.write( " 3a + 8j = 31 \n" ); document.write( "---------------subtraction eliminates j, find a \n" ); document.write( "29a + 0 = 17 \n" ); document.write( "a = 17/29 \n" ); document.write( "a = $.59 a pound for almonds \n" ); document.write( "Find j \n" ); document.write( "3(.59) + 8j = 31 \n" ); document.write( "1.77 + 8j = 31 \n" ); document.write( "8j = 31 - 1.77 \n" ); document.write( "8j = 29.23 \n" ); document.write( "j = 29.23/8 \n" ); document.write( "j = $3.65 a pound for jb \n" ); document.write( ": \n" ); document.write( "Check this in the first original equation \n" ); document.write( "8(.59) + 2(3.65) = 12 \n" ); document.write( "4.72 + 7.30 = 12.02 ~ 12, for some reason the solutions were not integer cents \n" ); document.write( "Maybe a typo somewhere in this problem \n" ); document.write( " |