document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #815963 by MathTherapy(10552)\"\" \"About 
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?
\n" ); document.write( "
Let savings be S
\n" ); document.write( "After spending $2,200 and then \"1%2F4\" of savings, he was left with: \"matrix%281%2C3%2C+3%2F4%2C+of%2C+%22%28S+-+2%2C200%29%22%29\"
\n" ); document.write( "Being left with \"matrix%281%2C3%2C+1%2F5%2C+of%2C+savings%29\", we then get:
\n" ); document.write( "\"matrix%281%2C3%2C+3%28S+-+%222%2C200%22%29%2F4%2C+%22=%22%2C++S%2F5%29\"
\n" ); document.write( "5(3)(S - 2,200) = 4S ----- Cross-multiplying
\n" ); document.write( "15S - 15(2,200) = 4S
\n" ); document.write( "- 15(2,200) = 4S - 15S
\n" ); document.write( "- 15(2,200) = - 11S
\n" ); document.write( "Original savings, or \n" ); document.write( "
\n" );