Question

Masha had 200 scoops of ice cream and Liz had 180 scoops. After they each ate an equal amount of scoops, the ratio of Masha’s scoops to Liz’s scoops was 3:2. How many scoops did each of them eat?

Answer 1

Answer: 140 scoops.

Hope this helped!

Answer 2

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,

$\frac{200-x}{180-x}=\frac{3}{2}$

$400-2x=540-3x$ ( by cross multiplication )

$-2x=140-3x$       ( Subtracting 400 on both sides )

$x=140$  ( adding 3x on both sides )

Hence, each of them eat 140 scoops.