SOLUTION: Ninety liters of pure maple syrup that costs $8.00 per liter are mixed with imitation maple syrup that costs $2.80 per liter. How much imitation maple syrup is needed to make a mix
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Question 137287: Ninety liters of pure maple syrup that costs $8.00 per liter are mixed with imitation maple syrup that costs $2.80 per liter. How much imitation maple syrup is needed to make a mixture to sell for $5.14 per liter?
This is going to be a 2 steps process:
Pure syrup=90 liter Imitated syrup=x
Cost=8 dollars cost=2.80 dollars
By using direct proportional formala a/b=c/d
a=90 c=x liter of imitated syrup
b=8 d=2.80
90/8=x/2.80
8x=90(2.80)
8x=252
x=252/8
x=31.50 liter of imitated syrup
Step 2
x liter of imitated syrup that can sell for $5.14 per liter
Again use the direct proportional formula a/b=c/d
a=90 liters c=x liter of imitated syrup
b=8 dollars d=5.14 dollars
90/8=x/5.14
8x=90(5.14)
8x=462.60
x=462.60/8
x=57.83 liters of imitated syrup to make a sell for $5.14 per liter
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