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?
<pre>Let savings be S
After spending $2,200 and then {{{1/4}}} of savings, he was left with: {{{matrix(1,3, 3/4, of, "(S - 2,200)")}}}
Being left with {{{matrix(1,3, 1/5, of, savings)}}}, we then get: {{{matrix(1,7, 3/4, "*", "(S - 2,200)", "=", 1/5, "*", S)}}}
{{{matrix(1,3, 3(S - "2,200")/4, "=",  S/5)}}}
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 {{{highlight_green(matrix(1,7, S, "=", (- 15("2,200"))/(- 11), "=", 15(200), "=", highlight("$3,000")))}}}