Question

Cathy spent 4/5 of her money while Josie spent 1/2 of her money. Both of them had the same amount of money left. If Josie had $35 left, how much did Cathy have at first?

Answer 1

if cathy spent 4/5 of her money, she would be left with 1/5 of her money
and if they had the smae amount of money left, cathy would also have $35 left

Answer 2

\[\frac{ 1 }{ 5 }=$35\]\[\frac{ 5 }{ 5 }= ?\]

Answer 3

cathy spent 4/5 of her money, and has $35
josie spent half of her money,
so if josie is left with $ 35, she started with 35 x 2/1 = 70$
so if cathy is left with $35, she started with 35 x 5/1 = 175$

Answer 4

josie: x/2 = 35 therefore x = 70
cathy y/5 = 35 therefore y = 175

Answer 5

1/2x = 35
x = 35/ (1/2)
x = 35 x 2/1 = 70 < -- Josie

1/5x = 35
x = 35/(1/5)
x = 35 x 5/1 = 175 <-- cathy