Savings total

Michelle and Sarah have saved 220 CZK together. They went on a pilgrimage; Michelle took one-quarter of her savings, and Sarah took one-fifth of her savings. Both of them together had 50 CZK for the pilgrimage. How much did Michelle and Sarah save in total?

Final Answer:

m =  120
s =  100

Step-by-step explanation:

m+s=220
m/4+s/5 = 50

m+s = 220
5m+4s = 1000

Pivot: Row 1 ↔ Row 2
5m+4s = 1000
m+s = 220

Row 2 - 1/5 · Row 1 → Row 2
5m+4s = 1000
0.2s = 20


s = 20/0.2 = 100
m = 1000-4s/5 = 1000-4 · 100/5 = 120

m = 120
s = 100

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