Question

The school band is selling items to raise​ $9,500 for a trip. For each item​ sold, the​ band's profit is a percent of the selling​ price, as shown in the table. 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 raised 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

Learn more about percentages here:

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