November 16963

Zuzana receives pocket money from her parents. In October and November, she managed to save 288 euros. The ratio of money saved for October and November is 5:4. How many euros did Zuzana save in October, and how much in November?

Correct answer:

n =  128
o =  160

Step-by-step explanation:


o+n=288
4o = 5n

o+n=288
4·o = 5·n

n+o = 288
5n-4o = 0

Pivot: Row 1 ↔ Row 2
5n-4o = 0
n+o = 288

Row 2 - 1/5 · Row 1 → Row 2
5n-4o = 0
1.8o = 288


o = 288/1.8 = 160
n = 0+4o/5 = 0+4 · 160/5 = 128

n = 128
o = 160

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