Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method

Answers

Answer 1

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460


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Step-by-step explanation:

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Step-by-step explanation:

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A = bh ( b is the base and h the perpendicular height )

(i)

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Answers

Answer:

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Step-by-step explanation:

Given that a poster of the detroit lions football players uses a scale

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so

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Answers

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Step-by-step explanation:

Let one number be represented as

x

and the other as

y

.

According to the problem:

x

=

2

3

y

and

x

+

y

=

10

From the second equation we get:

x

+

y

=

10

y

=

10

x

(subtracting

x

from both sides)

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y

in the first equation we get:

x

=

2

3

y

x

=

2

3

(

10

x

)

Multiplying both sides by

3

we get:

3

x

=

2

(

10

x

)

Opening the brackets and simplifying we get:

3

x

=

20

2

x

Add

2

x

to both sides.

5

x

=

20

Divide both sides by

5

.

x

=

4

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x

+

y

=

10

substituting

x

with

4

we get:

4

+

y

=

10

Subtract

4

from both sides.

y

=

6

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Step-by-step explanation:

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Answers

Answer:

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Please check the attached graph.

Step-by-step explanation:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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