Question

The flutists goal is to raise 18% of the total amount needed the trumpeters goal is 85% of the flutists goal. If both of these groups meet their goals which group raise more money what was the difference in the amounts the students raised?

Answer 1

The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpeters
The difference in the amounts the student raised is $256.5
Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = $256.5