Pavel 3

Pavel has deposits in two accounts. One in a current account with an annual interest of 2% and the other in a savings account with an annual interest of 4%. Both deposits earned him CZK 1,000 per year. If Pavel transferred the deposit from one account to the other and vice versa, they would earn him CZK 1,040 per year in interest. What are the deposits in the individual accounts?

Correct 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.



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