Respuesta :

Diatonic254

Answer:

(1)

Donna = Pounds 180

Kyra = Pounds 240

(2)

Kelly = Pounds 225

Nelly = Pounds 175

Step-by-step explanation:

(1)

Donna = x

Kyra = x + 60

If Donna spends 1/3 of her money she is left with 2/3 of her money;

2/3 x

Kyra now has twice as much money as Donna can be represented as;

X + 60 = 2 * 2/3 x

X + 60 = 4/3 x

(x + 60)3 = 4x

3x + 180 = 4x

180 = 4x – 3x

180 = x

Donna = 180

Kyra = 180 + 60 = 240

(2)

Kelly = x

Ned = y

Kelly spends 40% of her money. Therefore he is left with 60%;

60/100 x

Nelly spends Euros 40 of his money. Therefore he is left with;

y- 40

If they now have the same amount of money;

60/100 x = y – 40

3/5 x = y – 40

3x = 5y – 200

3x – 5y = -200

Remember Kelly & Ned has Euros 400 in total;

x + y = 400

Now we can solve the simultaneous equation by substitution;

x + y= 400

3x – 5y = -200

3x + 3y = 1200

-

3x – 5y = - 200

=

8y = 1400

Y = 175

X = 225

Kelly = 225

Nelly = 175

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Answer:

3. £60

4. Ned had £175

Step-by-step explanation:

3. 3 segments of Donna plus £60 is the money that Kyra has. Ater Donna spend 1/3 of her money, Kyra has twice as much money as Danna. This means that  2 segments of Donna are equal to 1 segment plus £60, so 1 segment is equal to £60. Donna spend 1 segment of her money, that is, £60.

4. Let's define x the money of Kelly, and y the money of Ned.

Kelly and Ned have £400 in total:

x + y = 400 (eq. 1)

Kelly spends 40% of her money (so she conserves the other 60%), Ned spends £40, They now have the same amount of money:

0.6*y = x - 40 (eq. 2)

From equation 1:

y = 400 - x

Replacing into equation 2:

0.6*(400 - x) = x - 40

240 - 0.6*x = x - 40

- 0.6*x - x = - 40 - 240

-1.6*x = -280

x = -280/-1.6

x = £175

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