Question 1185096
let Daniel has x dollars

After spending $2200 of his savings on an iPad, Daniel spent 1/4 of his remaining savings on a hoverboard

now he has 1/5 of his savings



so we can write

x-2200-1/4(x-2200)=1/5x

multiply both sides by 20

20(x-2200-1/4(x-2200))=20(1/5x)

20x-44000-20 * 1/4(x-2200)=4x
20x-44000-5(x-2200)=4x 
20x-44000-5x+11000=4x
15x-44000+11000=4x
15x-33000=4x
add 33000 to both sides

15x=4x+33000
subtract both sides by 4x

15x-4x=33000
11x=33000

divide both sides by 11

x = 33000 ÷ 11 = x = 3000
initially, Daniel had $3000.