SOLUTION: After spending $2200 of his savings on an iPad, Daniel spent 1/4 of his remaining savings on a hoverboard. He then had 1/5 of his savings left in the end. How much savings did Dani

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Question 1185096: After spending $2200 of his savings on an iPad, Daniel spent 1/4 of his remaining savings on a hoverboard. He then had 1/5 of his savings left in the end. How much savings did Daniel have at first?
Found 3 solutions by Boreal, 54929, MathTherapy:
Answer by Boreal(15235)   (Show Source):
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He had x
x-2200 after iPad
(3/4)(x-2200) left after hoverboard
that equal (1/5)x
so (3/4)x-1650=(1/5)x
(11/20)x=1650
$3000=x ANSWER
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He had $800 left after the iPad
He spent $200 on the hoverboard and had $600 left, which is 20% of what he started.

Answer by 54929(12)   (Show Source):
You can put this solution on YOUR website!
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.

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!
After spending $2200 of his savings on an iPad, Daniel spent 1/4 of his remaining savings on a hoverboard. He then had 1/5 of his savings left in the end. How much savings did Daniel have at first?

Let savings be S
After spending $2,200 and then of savings, he was left with:
Being left with , we then get:

5(3)(S - 2,200) = 4S ----- Cross-multiplying
15S - 15(2,200) = 4S
- 15(2,200) = 4S - 15S
- 15(2,200) = - 11S
Original savings, or