# Linear Systems (Mixture Problems)

- 1Bess 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?
- 2Tea 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?
- 3Ben 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?
- 4Tyler 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?
- 5Dan 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?
- 6How many kilograms of 8% copper alloy and 14% copper alloy should be combined to make 600 kg of 10% copper alloy?
- 7What 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!)
- 8What 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!)
- 9What 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!)
- 10What 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!)

$$e=mc^2$$