Download Worksheet Mixture and Solution Problems

CP Algebra 2
5.8 Word Problems
Name: __________________
Mixture Problems:
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Mixing food to get a certain cost
Investments: $ invested x % = interest (income)
Combining solutions to change concentration
1.) A cereal is made by mixing oats that cost $2 per kg with dried fruit that costs $9 per
kg. How many kg of each are needed to make 60 kg of cereal that costs $3.75 per kg?
Solution Problems:
3.) How many liters of acid must be added to 4 L of a 10% acid solution to make a solution
that is 80% acid?
4.) How many kilograms of water must be evaporated from 12 kg of a 5% salt solution to
produce a solution that is 30% salt?
HW Problems:
1.) A food store wants to mix cashews that cost $8/lb with pecans that cost $6/lb. How
many pounds of each are needed to make a 12 lb mix that costs $7.50/lb?
2.) Megan drove for 2 hours at 45 mph. How fast should she drive in the next hour to
average 50 mph?
3.) Jack invests a total of $3000, some at 5.5% and the rest at 8%. If he makes $210
interest, how much does he invest at each rate?
4.) If 500 L of a juice drink is 12% orange juice, how many liters of pure orange juice
should be added to make a drink that is 20% orange juice?
5.) How many liters of water must be evaporated from 20 L of a 30% salt solution to
produce a 50% solution?
6.) How many liters of an 18% acid solution should be added to 360 L of a 10% acid
solution to produce a 15% acid solution?