Travis, jessica, and robin are collecting donations for the school band. travis wants to collect 20% more than jessica and robin wants to collect 35% more than travis. if the students meet their goals and travis collected $43. how much money did they collect in all?

T=1.2j,  r=1.35t  solving the first for j leaves us with:

j=t/1.2 and r=1.35t

then we are told that:

t=43 so:

j=43/1.2=430/12=215/6

and r=1.35*43=58.05

Then the sum of all of their collected donations is then:

43+58.05+215/6≈$136.88  (to nearest cent)

check...

t=1.2j, j=t/1.2, j=43/1.2=430/12

r=1.35t=1.35*43=58.05

t=43

43+58.05+430/12=$136.88 (to nearest cent)