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# Linear Systems (Mixture Problems)

1. 1
Bess wants to make an almond cashew mix. If the almonds cost 2.50/kg and cashews cost 3.50/kg, then how many kilograms of each does she need to make 50 kilograms of mix that will sell for 2.90/kg?
2. 2
Tea that sells for $7.10/kg$ is mixed with tea that sells for $4.50/kg$ to make 1000 kilograms of tea that will sell for $6.19/kg$. How much of each type is used?
3. 3
Ben mixes regular coffee worth $8.50/kg$ with premium coffee worth $10.25/kg$ to make 250 kilograms of coffee that sells for $9.34/kg$. How much of each type of coffee is used?
4. 4
Tyler mixes a 4% vinegar solution with a 9% vinegar solution to make 500 ml of 6% vinegar solution. How many millilitres of each solution are used?
5. 5
Dan wants to make 400 L of 25% acid solution by mixing 16% acid solution with 40% acid solution. How many litres of each should he use?
6. 6
How many kilograms of 8% copper alloy and 14% copper alloy should be combined to make 600 kg of 10% copper alloy?
7. 7
What volume in litres of a 20% sulphuric acid solution must be added to 60 litres of a 40% sulphuric acid solution to make a 35% sulphuric acid solution?  (tough question!)
8. 8
What volume in ml of a 35% sugar solution must be added to 56 ml of a 60% sugar solution to make a 42% sugar solution?  (tough question!)
9. 9
What volume in litres of distilled water must be added to 40 litres of a 30% acid solution to make a 20% acid solution?  (tough question!)
10. 10
What volume in litres of distilled water must be added to 60 litres of a 80% acid solution to make a 32% acid solution?  (tough question!)

$$e=mc^2$$