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Question:

A soccer team with 16 players gets a donation of $7,296 from a small local business to share equally. Each of the team members agrees to donate $137 to a local charity, pay $117 towards transportation for the team, and to spend $32 on dinner. How much money will each player have left?

A $170
Explaination


Step 1: Interpret the Situation
In this situation, we know there are 16 people on the team. We know the original donation amount is $7,296 and each player receives the same amount of the donation. We also know that each player will spend $137, $117, and $32.
We can find the amount each player receives by dividing the original donation ($7,296) by the number of players on the team (16).
We can also find the total amount the athletes spend by adding together the 3 amounts (137 + 117 + 32). Then we can take away the total amount spent from each player’s original donation amount. This problem requires both division and subtraction.
Step 2: Set Up The Problem
We will use the following setups:
First:
amount each athlete receives = original donation amount number of athletes
amount each athlete receives = 7,296 / 16
Second:
amount spent per athlete = charity amount + transportation amount + food amount
amount spent per athlete = 137 + 117 + 32
Third:
amount left per athlete = amount each athlete receives – amount spent by athletes
amount per athlete = (7,296 16) – (137 + 117 + 32)
Step 3: Solve
To begin, each of the 16 players has to share equally in the donation. To find how much each player received, we have to divide the full amount of the donation by the number of players.
amount each athlete receives = original donation ÷ amount number of athletes
7,296 ÷ 16 = 456
Each athlete will get $456.
Next, we need to find the amount of money each athlete spends on charity, transportation, and dinner.
amount spent per athlete = charity amount + transportation amount + food amount
amount spent per athlete = 137 + 117 + 32
Each player will spend $286.
Finally, we can find the amount that remains by subtracting the expenses of each player from the amount they received.
amount left per athlete = amount each athlete receives – amount spent by each athlete
456 – 286 = 170
Each player will end up with $170 left.