Two children had 110 marbles between them. After one child lost half of her marbles and the other lost 20, they had an equal number.

How many marbles did each child start with, and how many did they finish with?

Well both children has 110 marbles between them, and one child lost half and the other lost 20 so then it said they had an equal number so the other girl must had 20 so that makes 40 and 110-40= 80 so 80 is like the marbles that are left

Answered by Anonymous | 2024-06-10

An equation is a mathematical statement that is made up of two expressions connected by an equal sign
x + y = 110
y - (1/2)x = 20
The number of marbles one children had is 50.
The number of marbles other children had is 60.
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign .
Example:
2x + 4y = 6 is an equation .
2x + 4 is an equation .
We have,
Total number of marbles = 110
Number of children = 2
Number of marbles one children has initially = x
Number of marbles other children has initially = y
Now,
x + y = 110 _____(1)
After one child had lost half her marbles and the other lost 20 they had an equal number .
This means,
x - (1/2)x = y - 20
(1/2)x = y - 20
**y - (1/2)x = 20 **_____(2)
From (1) and (2) we get,
**x = 110 - y **_____(3)
Putting (3) in (2)
y - (1/2)x = 20
y - (1/2)(110 - y) = 20
y - 55 + (1/2)y = 20
(3/2)y = 20 + 55
(3/2)y = 75
y = (75 x 2) / 3
y = 25 x 2
y = 50
Now,
Putting y = 50 in (3) we get,
x = 110 - y
x = 110 - 50
x = 60
Thus,
The number of marbles one children had is 50.
The number of marbles other children had is 60.
Learn more about equations here:
https://brainly.com/question/17194269
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Answered by swapnalimalwadeVT | 2024-06-24

The first child started with 60 marbles, and the second child started with 50 marbles. After losing marbles, they both ended up with 30 marbles each. Therefore, the initial counts were 60 and 50, and the final counts were both 30 marbles.
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Answered by swapnalimalwadeVT | 2024-12-19