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Jackie wants to make a mixture of nuts to sell in her store consisting of hazelnuts (h) and cashews (c). 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?

1 Answer
P dilip_k
Jun 20, 2018

Jackie wants to make a mixture of nuts to sell in her store consisting of hazelnuts (h) and cashews (c). 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?

Let the number of pounds of hazelnuts sold be #h# and that of cashews be #c#

#h+c=60....(1)#

#h*6.5+c*4.5=5.1*60#

#=>65h+45c=3060#

#=>13h+9c=612.....(2)#

Multiplying (1) by 13 and subtracting (2) we get

#4c=780-612#

#=>c=168/4=42# pounds

So #h=60-42=18# pounds

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