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6) 12 pounds of peanuts are mixed with an unknown weight of cashews. The peanuts cost a total of
$30, the cashews cost $5 per pound. The combined mixture of nuts costs $4 per pound. How many
pounds of cashews were used in the mixture?

Respuesta :

adioabiola

The number of pounds of cashews used in the mixture is 18 pounds

How to write equation?

  • Cost per pound of mixture = $4

let

x = pounds of cashew

Total weight = peanuts + cashew

= 12 + x

Total cost = cost of peanut + cost of cashew

= 30 + 5(x)

= 30 + 5x

Cost per pound = Total cost / Total weight

4 = (30 + 5x) / (12 + x)

  • cross product

4(12 + x) = 30 + 5x

48 + 4x = 30 + 5x

48 - 30 = 5x - 4x

18 = x

x = 18 pounds

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