SOLUTION: How many kilos of peanuts worth Php40/kg and cashew nuts worth Php 120/kg should be mixed to produced 50kg of mixed nuts worth Php80/kg?

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Question 1159205: How many kilos of peanuts worth Php40/kg and cashew nuts worth Php 120/kg should be mixed to produced 50kg of mixed nuts worth Php80/kg?
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

kg x Cashew nuts Php 120
kg y peanuts Php 40


x + y = 80
50*(80)=4000

120.00 x + 40.00 y = 4000.00 .............2
Eliminate y
multiply (1)by -40.00
Multiply (2) by 1.00
-40.00 x -40.00 y = -3200.00
120.00 x 40.00 y = 4000.00
Add the two equations
80.00 x = 800.00
/ 80.00
x = 10.00
plug value of x in (1)
1.00 x + 1.00 y = 80.00
10.00 + 1.00 y = 80.00
1.00 y = 70.00
y = 70.00
Ans x = 10.00
y = 70.00
10.00 kg Cashew nuts
70.00 kg peanuts
m.ananth@hotmail.ca

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
c, amount of cashews
50-c, amount of peanuts
120c%2B40%2850-c%29=80%2A50
.
.
highlight%28c=50%28%2880-40%29%2F%28120-40%29%29%29, easy enough to compute



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You may notice that the desired price of 80 php per kg is exactly in the middle of 40 and 120 php per kg. The amount of each of the nuts should therefore be 25 kg of each.