(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