PRACTICE PROBLEMS ON INVEST AND MIXTURE WORKSHEET

Problem 1 :

On a vocation, Elwyn averaged 50 mph travelling from Denver to Minneapolis. Returning by a different route that covered the same number of miles he averaged 55 mph. What is the distance between the two cities if the total travelling time was 32 hours ?

Solution

Problem 2 :

Terry earned $48000 from royalties on her cookbook. She paid 28% income tax of these royalties. The balance was invested in two ways, some of it at 3.25% and some of it at 1.75%. The investment produced $904.80 per year. Find the amount invested at each rate.

Solution

Problem 3 :

A chemist wishes to obtain a 20% of alcohol solution, however she only has 10% alcohol and 30% of alcohol on hand. How much should she add to the 5 gallons of 10% alcohol to obtain 20% mixture ?

Solution

Problem 4 :

The sides of the triangular plot of land have a perimeter of 230 meters. If the largest side is twice as large as the smallest and middle side is 20 less than the largest. What is the lengths of each side?

Solution

Problem 5 :

You have 20 gallons of 45% of antifreeze solution. How many gallons of 57% of antifreeze solution need to be added to make a 51% of antifreeze solution ?

Solution