Question 1206592
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Every month. Andie spent 1/5 of his salary on food and 2/3 of the remaining salary on transport. After spending his salary on food and transport, he gave 50% of the rest of the salary to his parents and saved the rest of the $350 How much did he spend on food and transport every month?

After spending {{{1/5}}} on food, {{{1 - (1/5)}}}, or {{{4/5}}} of his salary remained
After spending {{{2/3}}} of REMAINDER on transportation, {{{(1 - (2/3))(4/5)}}} or {{{matrix(1,3, (1/3)(4/5), "=", 4/15)}}} of his salary remained
After giving 50% (.5) of the remaining {{{4/15}}} to his parents, he had .5({{{4/15}}}), or {{{2/15}}} remaining, which happens to be $350
Since {{{4/15}}} of his salary remained after spending some on food and transportation, {{{1 - (4/15)}}}, or {{{11/15}}} of his salary was 
spent on food and transportation
This then produces the following PROPORTION: {{{matrix(1,3, (2/15)/(11/15), "=", 350/x)}}}, with x being the amount spent on food and transportation
                                      {{{matrix(3,3, (2/15)(15/11), "=", 350/x, (2/cross(15))(cross(15)/11), "=", 350/x, 2/11, "=", 350/x)}}}
                                                 2x = 11(350) ---- Cross-multiplying
     Amount spent on food and transportation, or {{{highlight_green(matrix(1,7, x, "=", 11(350)/2, "=", 11(175), "=", highlight("$1,925")))}}}</pre>