Please help me with this! Two children had 110 marbles between them. After one child had lost half 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?

An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign

x + y = 110

y - (1/2)x = 20

The number of marblesonechildren had is 50.

The number of marblesotherchildren had is 60.

What is an equation?

An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign.

Example:

2x + 4y = 6 is an equation.

2x + 4 is an equation.

We have,

Totalnumber of marbles = 110

Number of children = 2

Number of marblesonechildren has initially = x

Number of marblesotherchildren has initially = y

Now,

x + y = 110 _____(1)

After one child had losthalf her marbles and the otherlost 20 they had an equalnumber.

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 marblesonechildren had is 50.

The number of marblesotherchildren had is 60.

Learn more about equations here:

brainly.com/question/17194269

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