# (Answered) MATH114N Week 5 Assignment: Mixture Problems and Systems of Equations

Question

A 75% antifreeze solution is to be mixed with a 90% antifreeze solution to get 360 liters of a 85% solution. How many liters of the 75% and how many liters of the 90% solutions will be used?

# Question

Morgan invested \$4,200 into two accounts. One account paid 4% interest and the other paid 7.5% interest. She earned 7% interest on the total investment. How much money did she put in each

# Question

When she graduates college, Linda will owe \$43,000 in student loans. The interest rate on the federal loans is 4.5% and the rate on the private bank loans is 2%. The total interest she owes for one year was \$1,585. What is the amount of each loan?

# Question

A scientist needs 120mL of a 20% acid solution for an experiment. The lab has available a 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of the 25% solution should the scientist mix to make the 20% solution?

# Question

How many pounds of nuts selling for \$6 per pound and pounds of raisins selling for \$3 per pound should Kurt combine to obtain 120 pounds of trail mix that cost him \$5 per pound?

# Question

Hannah has to make 25 gallons of punch for a potluck. The punch is made of soda and fruit drink. The cost of the soda is \$1.79 per gallon, and the cost of the fruit drink is \$2.49 per gallon. Hannah’s budget requires that the punch cost \$2.21 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?

# Question

Lucinda has a pocketful of dimes and quarters with a value of \$6.20. The number of dimes is 18 more than 3 times the number of quarters. How many dimes and how many quarters does Lucinda have?

# Question

Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value of \$13.10. The number of quarters was 15 more than 3 times the number of dimes. How many quarters and how many dimes did Peter have?

# Question

Joy is preparing 20 liters of a 25% saline solution. She has only a 40% solution and a 10% solution in her lab. How many liters of the 40% solution and how many liters of the 10% solution should she mix to make the 25% solution?

# Question

Devon needs 90mL of a 10% acid solution for a science experiment. He has available a 5% solution and a 20% solution. How many milliliters of the 5% solution and how many milliliters of the 20% solution should he mix to make the 10% solution?

# Question

A business has two loans totaling \$85,000. One loan has a rate of 4.5% and the other has a rate of 6%. This year, the business expects to pay \$4,650 in interest on the two loans. How much is each loan?

# Question

Matthew invested \$3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?

# Solution:

Question

A 75% antifreeze solution is to be mixed with a 90% antifreeze solution to get 360 liters of a 85% solution. How many liters of the 75% and how many liters of the 90% solutions will be used?

Answer:  75% solution:120 liters, 90% solution 120 liters….Please click the icon below to purchase full solution at \$10