Question

I really need help can ya'll please help. ://
Thank you

Answer 1

a) Wayne's savings before he spent $28 is $30

b) Stef's savings after she spent $28 is $8

Explanation:

step 1 :

let,

Wayne's savings = 5x

Stef's savings = 6x

step 2 :

After spending $28 each of them, The ratio becomes 1/4.

⇒ (28 - 5x) / (28 - 6x) = 1/4

⇒ 4(28 - 5x) = 1 (28 - 6x)

⇒ 112 - 20x = 28 - 6x

⇒ 112 - 28 = 20x - 6x

⇒ 84 = 14 x

x = 84/4 = 6

step 3 :

a) Wayne's savings before he spent $28 = 5x

substitute x=6,

Wayne's savings = 5(6) = $30

step 4 :

b) Stef's savings after she spent $28 = Total savings - $28

= 6x - 28

= 6(6) - 28

∴ Stef's savings after she spent $28 = 36 - 28 =$8

Answer 2

(a) Wayne's savings before he spent $28 is $30.

(b) Stef's savings after she spent $28 is $8.

Solution:

Ratio of Wayne's savings to Stef's savings = 5 : 6

Let x be the common amount they have.

After spending $28 each, the ratio becomes 1 : 4.

5x – 28 : 6x – 28 = 1 : 4

This can be written in a fraction form.

`$\Rightarrow(5x-28)/(6x-28)=(1)/(4)`

Do cross multiplication.

`$\Rightarrow 4(5x-28)}=1({6x-28})`

`$\Rightarrow 20x-112=6x-28`

Arrange like term one side.

`$\Rightarrow 20x-6x=112-28`

`$\Rightarrow 14x=84`

⇒ x = 6

(a) Wayne's savings before he spent $28 = 5x = 5(6) = $30

(b) To find stef's savings after spent $28:

Stef's savings before she spent $28 = 6x = 6(6) = $36

Stef's savings after she spent $28 = $36 – $28 = $8

Hence Wayne's savings before he spent $28 is $30

Stef's savings after she spent $28 is $8.