SOLUTION: The peanut pub has pecans that sell for $7.50 per kilogram and almonds that sell for $8.75. The owner wants to make a 10-kg mixture of these two varieties, which will sell for $8.0

Question 688262: The peanut pub has pecans that sell for $7.50 per kilogram and almonds that sell for $8.75. The owner wants to make a 10-kg mixture of these two varieties, which will sell for $8.00 per kg. How many kg of each variety will he need to use to produce the desired mixture. Thank you for the help in advance.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kg of pecans needed
Let = kg of almonds needed
given:
(1)
(2)
----------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
6 kg of pecans are needed
4 kg of almonds are needed
check:
(2)
(2)
(2)
(2)
OK

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