Question

John beat his previous high score in the favorite game by 28%. If his new high score is 288 points, what was his previous high score?

Answer 1

Let's assume his previous score was x

we are given

John beat his previous high score in the favourite game by 28%

It means that

New score is 28 % greater than previous score

so,

New score = 28 % of previous score + previous score

now , we have assumed

previous score =x

so, we get

New score =
`(28)/(100)x+x`

New score =
`0.28x+x`

New score =
`1.28x`

now, we are given

New high score is 288 points

so, we can plug it

`288=1.28x`

now, we can solve for x

`288=1.28x`

Divide both sides by 1.28

`(288)/(1.28) =(1.28x)/(1.28)`

we get

`x=225`

so,

his previous score was 225 points..........Answer

Answer 2

Let x be the previous high score, that is initially 100%. John beat his previous high score in the favorite game by 28% and the new high score 288 points is 128%. Then you can write it as proportion:

`(x)/(288) =(100)/(128)`.

Solve it by cross multiplication:

`image`.

Answer: the previous high score was 225 points.