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Mathematics
Tutor: None Selected Time limit: 1 Day

Jackie wants to make a mixture of nuts to sell in her store consisting of hazelnuts and cashews. Hazelnuts cost $6.50 per pound and cashews cost $4.50 per pound. If Jackie wants 60 pounds total of mixture and the cost to be $5.10 per pound, how many pounds of each will she need?

May 27th, 2015

x=the cashews at 4.5

y=the hazelnuts at 6.5

x+y=60

4.5x+6.5y  / 60 = 5.1

y=60-x rearrange

4.5x+6.5(60-x)   /60 = 5.1

then solve for x

4.5x+390-6.5x  =306

-2x=-84

x=42

then we plug into the simple equation x+y=60 with x=42 and get y=18 then to verify we use our second equation to see if it equals

4.5(42)+6.5(18)   /60 =5.1

189+117  / 60 =5.1

306/60=5.1

5.1=5.1

if you need any more help just ask

You need 42 poudns of cashew and 18 of hazelnuts

May 27th, 2015

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