Home

Tutoring

Subjects

Live Classes

Study Coach

Essay Review

On-Demand Courses

Colleges

Games

Sign up

Log in

Opening subject page...

Loading your content

Practice

  • All Subjects
  • Algebra Flashcards
  • SAT Math Practice Tests
  • Math Question of the Day
  • Live Classes
  • On-Demand Courses

Varsity Tutors

  • Find a Tutor
  • Test Prep
  • Online Classes
  • K-12 Learning
  • College Search
  • VarsityTutors.com

© 2026 Varsity Tutors. All rights reserved.

← Back to quizzes

College Algebra Quiz

College Algebra Quiz: Systems Of Equations In Applications

Practice Systems Of Equations In Applications in College Algebra with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

Question 1 / 1

0 of 1 answered

Two investment accounts earn different annual interest rates. Account A earns 4% annually and Account B earns 6% annually. An investor places a total of 25000intheseaccountsandearns25000 in these accounts and earns 25000intheseaccountsandearns1180 in interest after one year. If the investor wants to redistribute the funds to earn exactly $1300 in interest next year while keeping the same total investment, how much additional money needs to be moved from Account A to Account B?

Select an answer to continue

What this quiz covers

This quiz focuses on Systems Of Equations In Applications, giving you a quick way to practice the rules, question types, and explanations that matter most for College Algebra.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

Two investment accounts earn different annual interest rates. Account A earns 4% annually and Account B earns 6% annually. An investor places a total of 25000intheseaccountsandearns25000 in these accounts and earns 25000intheseaccountsandearns1180 in interest after one year. If the investor wants to redistribute the funds to earn exactly $1300 in interest next year while keeping the same total investment, how much additional money needs to be moved from Account A to Account B?

  1. $2000 needs to be moved from A to B
  2. $3000 needs to be moved from A to B
  3. $4000 needs to be moved from A to B
  4. $6000 needs to be moved from A to B (correct answer)

Explanation: First, find the current distribution. Let xxx = amount in Account A, yyy = amount in Account B. We have x+y=25000x + y = 25000x+y=25000 and 0.04x+0.06y=11800.04x + 0.06y = 11800.04x+0.06y=1180. From the first equation, y=25000−xy = 25000 - xy=25000−x. Substituting: 0.04x+0.06(25000−x)=11800.04x + 0.06(25000-x) = 11800.04x+0.06(25000−x)=1180, so 0.04x+1500−0.06x=11800.04x + 1500 - 0.06x = 11800.04x+1500−0.06x=1180, giving −0.02x=−320-0.02x = -320−0.02x=−320, so x=16000x = 16000x=16000 and y=9000y = 9000y=9000. For the new target of 1300, let $$x'$$ and $$y'$$ be the new amounts. We need $$x' + y' = 25000$$ and $$0.04x' + 0.06y' = 1300$$. Solving: $$y' = 25000 - x'$$ and $$0.04x' + 0.06(25000-x') = 1300$$, so $$0.04x' + 1500 - 0.06x' = 1300$$, giving $$-0.02x' = -200$$, so $$x' = 10000$$ and $$y' = 15000$$. The change is from 16000 to 10000inAccountA,so10000 in Account A, so 10000inAccountA,so6000 moves from A to B.