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Algebraic Sense
Lesson 20
Symbols and Notations
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 | 5 > Reflection

Example 3:

Jorge's town has a soccer league. He helped sign up players for the different divisions. The table shows the total number of players who signed up this year.

Division
Number of Players
Sign-up Fee
A (16-18 years old)
49
$20 per player
B (13-15 years old)
54
$20 per player
C (10-12 years old)
67
$30 per player

Jorge needs to figure out the total amount of money from sign-up fees.

  • Which of these expressions will give him the correct amount?
  1. (49 + 54) x $20 + (67 x $30)
  2. (49 x $30) + (54 x $20) + (67 x $30)
  3. (49 + 54 x $20) + (67 x $30)
  4. (49 + 54 + 67) x ($20 + $30)

Begin to find the answer to this problem by looking over the table of information and find the mathematical expression, not the final solution, to show how much Jorge will make in sign-up fees.

To start, let's find out how to show the money made for the 16 - 18 year olds division. To find the amount of money, you would take 49 players times $20 per player. This is represented by 49 players x $20. The second division is 54 players x $20. Since both divisions are $20 per player, let's see if you can put the two expressions together. It would look something like this:

(49 x $20) + (54 x $20)

Simplifying it even further using the distributive property, it would look like this:

(49 + 54) x $20

Division C is represented by 67 players x $30 per player.

So with the two sets of expressions you put the two expressions together and it looks like this:

(49 + 54) x $20 + (67 x $30)

This mathematical expression is found as one of your choices so letter A is the correct answer.

Example 4 >>

 

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