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 sc

Question

2 years ago

14

oops to Liz’s scoops was 3:2. How many scoops did each of them eat?

2 answers:

mezya [45] · Answer 1 · 2022-07-19T21:19:51+03:00

mezya [45]2 years ago

6 0

Answer: 140 scoops.

Hope this helped!

kherson [118] · Answer 2 · 2022-07-19T19:51:25+03:00

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.