Question 1171235
Hi
Jason spent 1/4 of his money and an extra $10 on some books. He the spent 2/5 of the remaining money plus an extra $8 on some dvds. If he was left with $130, how much money did he have at first.
Thanks
<pre>Let amount Jason had be J
After spending {{{1/4}}}, and an extra $10, he had {{{matrix(1,4, (3/4)J - 10, or, 3J/4 - 10, left)}}}
After spending {{{2/5}}} of the REMAINDER, and an extra $8, he had {{{matrix(1,8, (3/5) * (3J/4 - 10) - 8, ",", or, 9J/20 - 6 - 8, ",", or, 9J/20 - 14, left)}}}
Since at the end he was left with $130, then we get: {{{matrix(2,3, 9J/20 - 14, "=", 130, 9J/20, "=", 154)}}}
9J = 20(154) ------- Cross-multiplying
Amount Jason had, or {{{highlight_green(matrix(1,5, J, "=", 20(154)/9, "=", "$320"))}}}