livelifeasagamer livelifeasagamer

29-11-2015
Mathematics

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You purchase a desk for 60% of the original price P. This price is $32 less than the original price. Write and solve an equation to find the original price of the desk.

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redcloud redcloud

29-11-2015

0.6P=P-$32
$32=1P-0.6P
$32=.4P
P=$80 was the original price

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apologiabiology apologiabiology

29-11-2015

so purchase desk at 60% of P
new price is 32 less than P
60%=60/100=6/10=3/5
3/5P=P-32
solve for P
multiply both sides by 5 to get rid of fraction
3P=5P-160
subtract 3P from both sides
0=2P-160
add 160 to both sides
160=2P
divide both sides by 2
80=P

the original cost =$80

Answer Link

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