document.write( "Question 473653: when landscaping their yard, a couple budgeted $4,200. the irrigation system costs $2,400 and the sod costs $1,500.the rest they will spend on trees and shrubs.trees each cost $32 and shrubs each cost $4.they plant a total of 33 trees and shrubs.how many of each did they plant in their yard? \n" ); document.write( "

Algebra.Com's Answer #324880 by oberobic(2304) $\"\"$ $\"About$

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\n" ); document.write( "How much money do they have to spend o trees and shrubs?
\n" ); document.write( "4200 - 2400 - 1500 = 300
\n" ); document.write( "How many trees and shrubs did they plant? 33
\n" ); document.write( "t = number of trees
\n" ); document.write( "s = number of shrubs
\n" ); document.write( "How many trees? t
\n" ); document.write( "How many shrubs? 33-t
\n" ); document.write( "That's a key thing to substitute.
\n" ); document.write( "Trees are $32; shrubs are $4.
\n" ); document.write( "Since the spent $300, we can say:
\n" ); document.write( "32*t + (33-t)*4 = 300
\n" ); document.write( "Simplify
\n" ); document.write( "32t + 132 - 4t = 300
\n" ); document.write( "28t = 168
\n" ); document.write( "t = 168/28
\n" ); document.write( "t = 6
\n" ); document.write( ".
\n" ); document.write( "That means they planted 33-6 = 27 shrubs.
\n" ); document.write( ".
\n" ); document.write( "To check, how much do 27 shrubs cost?
\n" ); document.write( "27*4 = $108
\n" ); document.write( "How much did they spend on 6 trees?
\n" ); document.write( "6*32 = $192
\n" ); document.write( "How much in total?
\n" ); document.write( "108 + 192 = 300
\n" ); document.write( "That's correct!
\n" ); document.write( ".
\n" ); document.write( "Answer:
\n" ); document.write( "They purchased and planted 6 trees and 27 shrubs.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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