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A merchant has coffee worth $40 a pound that she wishes to mix
with 60 pounds of coffee worth $90 a pound to get a mixture that
can be sold for $70 a pound. How many pounds of the S40 coffee
should be used?
O 20 pounds
O 40 pounds
100 pounds
O 50 pounds

Respuesta :

Answer:

Step-by-step explanation:

let x = the number of pounds of cheaper coffee.

Since the merchant is mixing this with more expensive coffee, then

x + 60 = the number of pounds of medium priced mixed coffee.

The equation is gotten from this

+  =  

(x)($40)  + (60)($90)   = (x + 60)($70) or

            40x + 5400 = 70(x + 60)

Solve that equation and get x = 40

Answer: 40 pounds of $40 coffee.

i hope this helped

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