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Answer :
Answer:
Each of them eat 140 scoops.
Step-by-step explanation:
Let x be the amount eaten by each of them,
Given,
The initial ice cream Masha has = 200 scoops
Final ice cream Masha has = ( 200 - x ) scoops
while the initial ice cream Liz has = 180 scoops,
Final ice cream Liz has = (180-x) scoops,
According to the question,
[tex]\frac{200-x}{180-x}=\frac{3}{2}[/tex]
[tex]400-2x=540-3x[/tex] ( by cross multiplication )
[tex]-2x=140-3x[/tex] ( Subtracting 400 on both sides )
[tex]x=140[/tex] ( adding 3x on both sides )
Hence, each of them eat 140 scoops.
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