Crown

Siblings collect 2-crowns and 5-crowns. Together have 80 coins with a total of value 310 crowns. How many saved two crowns, and how many five crowns?

Correct answer:

n(2) =  30
n(5) =  50

Step-by-step explanation:


a+b = 80; 2a+5b = 310

a+b = 80
2·a+5·b = 310

a+b = 80
2a+5b = 310

Pivot: Row 1 ↔ Row 2
2a+5b = 310
a+b = 80

Row 2 - 1/2 · Row 1 → Row 2
2a+5b = 310
-1.5b = -75


b = -75/-1.5 = 50
a = 310-5b/2 = 310-5 · 50/2 = 30

a = 30
b = 50

Our linear equations calculator calculates it.



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