Question 1042246
Lopez spent 1/3 of his vacation money for travel and 2/5 of his vacation money for lodging. He spent $1100 for travel and lodging. What is the total amount of money he spent on his vacation?
<pre> He spent {{{matrix(1,5, 1/3 + 2/5, or, 5/15 + 6/15, or, 11/15))}}} of vacation money on travel and lodging. This fraction represents $1,100. With A being the total amount spent, 
we get the following proportion: {{{(11/15)/1 = "$1,100"/A}}}
{{{11A/15 = "$1,100"}}} ------- Cross-multiplying
11A = 15($1,100) ------- Cross-multiplying
A, or amount spent on vacation = {{{matrix(1,1, "15($1,100)"/11)}}} = {{{highlight_green("$1,500")}}}