Question

Harry's amount of money is 75% of Kayla's amount of money after harry earned $30 and Kayla earned 25% more of her money harry's amount of money is 80% of Kayla's money how much money did each have at the beginning

Answer 1

Harry had $90 and Kayla had $120 at the beginning.

Explanation:

Given:

Initial amount of Harry's money = 75% of Kayla's initial amount.

Harry earned $30 and Kayla earned 25% more.

Harry's final amount = 80% of Kayla's final amount.

Let the initial amount of Kayla be 'x'.

As per question:

Initial amount of Harry's money = 75% of Kayla's initial amount.

Initial amount of Harry's money = 75% of
`x`

Initial amount of Harry's money =
`0.75x`

Now, Harry earned $30 more. So, total amount of Harry is given as:

Final amount of Harry's money =
`0.75x+30`

Kayla also earned 25% more of her money. So, final amount of Kayla's money is given as:

Kayla's final amount =
`x+25\%\ of\ x=x+0.25x=1.25x`

Now, again as per question:

Harry's final amount = 80% of Kayla's final amount.

`0.75x+30=0.80* 1.25x`

`0.75x+30=1x`

`1x-0.75x=30`

`0.25x=30`

`x=(30)/(0.25)=\$120`

Therefore, initial money Kayla had = $120

Initial money Harry had =
`0.75x=0.75* 120=\$90`

Hence, Harry had $90 and Kayla had $120 at the beginning.