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 Jessica collects $35.85, how much money did they collect in all?

Answer 1

First, find out what percentage of the total Jessica collected by dividing her earnings by the class target goal:

$35.85 / $150 = 0.24 (Jessica's contribution expressed as a decimal)

Since Travis wanted to raise 20% more than Jessica, he aimed to bring in 20/100 x $35.85 = $7.17 more dollars than Jessica. Therefore, his initial target was $35.85 + $7.17 = $43.

To express Travis's collection as a percentage of the class target goal, divide his earnings by the class target goal:

$43 / $150 = 0.289 (Travis's contribution expressed as a decimal)

Next, find Robin's contribution by adding 35% to Travis':

$0.289 * 1.35 = 0.384 (Robin's contribution expressed as a decimal)

Multiply the class target goal by each student's decimal contributions to find how much each brought in:

*$150 * $0.24 = $37.5

*$150 * $0.289 = $43

*$150 * $0.384 = $57.6

Finally, add up the amounts raised by each person to find the total:

$37.5 + $43 + $57.6 = $138.1 (Total earned by all three)

In conclusion, if the students met their goals, they collected a total of $138.1 across all three participants ($35.85 from Jessica + $43 from Travis + $57.6 from Robin).