Pavel 3

Pavel has deposits in two accounts: one in a current account with an annual interest rate of 2% and the other in a savings account with an annual interest rate of 4%. Together, both deposits earned him 1,000 CZK per year. If Pavel swapped the deposits between the two accounts, they would earn him 1,040 CZK per year in interest. What are the amounts deposited in each account?

Final Answer:

a =  18000
b =  16000

Step-by-step explanation:


0.02a + 0.04b = 1000
0.04a + 0.02b = 1040

0.02·a + 0.04·b = 1000
0.04·a + 0.02·b = 1040

0.02a+0.04b = 1000
0.04a+0.02b = 1040

Pivot: Row 1 ↔ Row 2
0.04a+0.02b = 1040
0.02a+0.04b = 1000

Row 2 - 0.02/0.04 · Row 1 → Row 2
0.04a+0.02b = 1040
0.03b = 480


b = 480/0.03 = 16000.00000001
a = 1040-0.019999999999982b/0.04 = 1040-0.02 · 16000.00000001/0.04 = 18000.00000002

a = 18000
b = 16000

Our linear equations calculator calculates it.



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Do you have a system of equations and are looking for calculator system of linear equations?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem

Related math problems and questions: