Below is the solution:
<span>8 weeks to earn;
plane ticket 2200 dollars;
job 20(hours/week), 11.5(dollars/hour) versus job 40(hours/week), 100(dollars)+9(dollars/hour)
Part of the question is how many weeks to work to get the needed money $2200.
Let w be how many weeks. w needs to be a Natural Number, when finished.
</span><span>Tech Internship
8 x weeks x 20 x (hours/week) x 11.5 x (dollars/hours)
20 x 11.5 w
230w >/ 2200
23w >/ 220
</span><span>Amusement Park
8 x weeks x 40 x (hours/week) x 9 x (dollar/hour) + 100 dolarrs
40 x 9 x w + 100
360w + 100 >/ 2200
36w +10 > 0220
18w + 5 >/ 110</span>
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3
