6. Linear Systems and Modeling
Systems Applications — Quiz
Test your understanding of systems applications with 5 practice questions.
Practice Questions
Question 1
A total of $$ \$4000 $$ is invested in two accounts. One account earns 2% annual interest and the other earns 5% annual interest. If the total interest earned in one year is $$ \$130 $$, how much was invested in the account earning 2% interest?
Question 2
A mixture of fruit juice contains apple juice and orange juice. Apple juice costs $$ \$2 $ per liter and orange juice costs $ \$3 $ per liter. If a 10-liter mixture costs $ \$24 $$, how many liters of apple juice are in the mixture?
Question 3
Two cyclists are 100 miles apart and start riding towards each other. One cyclist rides at 15 mph and the other at 10 mph. How long will it take for them to meet?
Question 4
A rectangular field has a perimeter of 80 meters. If the length is 10 meters more than the width, what is the area of the field?
Question 5
A chemist needs to mix a 5% alcohol solution with a 20% alcohol solution to get 10 liters of a 14% alcohol solution. How many liters of the 5% alcohol solution are needed?