SOLUTION: Linda wants to make a mixture of grain that has 15% protein for her horse. She has30kg of oats which has 17g of protein per 100g and she has 50kg of barley which has 12gor protein

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Question 1078990: Linda wants to make a mixture of grain that has 15% protein for her horse. She has30kg of oats which has 17g of protein per 100g and she has 50kg of barley which has 12gor protein per 100g
How much of each does she need to make a 20kg mixture with 15% protein?
And
What is the largest amount of 15% protein mixture that she can make with the grains on hand and what will be left over?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If just the 20 kg of 15% protein mixture is wanted, then 12 kg. of the oats and 8 kg. of the barley.

Ratio of oats to barley NEEDED, 3%2F2=15%2F10
Ratio of oats to barley AVAILABLE, 3%2F5=6%2F10

To make as much of the mixture as possible,
30 kilograms of the oats (17% protein)
and
30%2A%282%2F3%29=20%2Akilograms of the barley.


Barley left over, 30 kilograms