Question

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 collects $43, how much money did they collect in all?

A $106.78
B $128.60
C$136.88

Answer 1

After calculating, Jessica collected $35.83, Travis collected $43, and Robin collected $58.05. The total collected by all three is $136.88, making option C $136.88 the correct answer.

Step-by-step explanation:

Travis, Jessica, and Robin are collecting donations with Travis collecting 20% more than Jessica, and Robin collecting 35% more than Travis. If Travis collects $43, we can determine the total amount they collected by first calculating Jessica's and Robin's shares.

Let's say Jessica collected J dollars, Travis collected 20% more than Jessica, so he collected J + 0.20J = $43. Thus, J = $43 / 1.20 = $35.83 (Jessica's collection). Now, to find Robin's collection which is 35% more than Travis, it would be 1.35 x $43 = $58.05 (Robin's collection).

The total amount they collected in all is Jessica's collection J + Travis's collection + Robin's collection which is $35.83 + $43 + $58.05 = $136.88. Therefore, the correct answer is C $136.88.