Two sisters

Two sisters together have 54 CDs. 6/8 of the younger sister's CDs equal 3/5 of the older sister's CDs. How many CDs has each of the sisters?

Final Answer:

a =  24
b =  30

Step-by-step explanation:


a+b=54
6/8a = 3/5b

a+b=54
6/8·a = 3/5·b

a+b = 54
30a-24b = 0

Pivot: Row 1 ↔ Row 2
30a-24b = 0
a+b = 54

Row 2 - 1/30 · Row 1 → Row 2
30a-24b = 0
1.8b = 54


b = 54/1.8 = 30
a = 0+24b/30 = 0+24 · 30/30 = 24

a = 24
b = 30

Our linear equations calculator calculates it.



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