5) You have some packs of gum. In each pack, there are 6 pieces of gum. a) Write an equation to represent the total pieces of gum. b) If Bill buys 4 packs of gum, how many pieces does he get (use your equation)? ) Write an equation and describe a situation that represents it.

## Step 1: Defining Variables<br />### Let 'p' represent the number of packs of gum and 'g' represent the total number of pieces of gum.<br /><br />## Step 2: Writing the Equation<br />### Since each pack contains 6 pieces, the total number of pieces of gum ('g') is equal to 6 times the number of packs ('p'). This can be represented by the equation: $g = 6p$.<br /><br />## Step 3: Calculating the Number of Pieces for 4 Packs<br />### Substitute $p=4$ into the equation: $g = 6 \times 4 = 24$. Therefore, Bill gets 24 pieces of gum.<br /><br />## Step 4: Creating a Situation and Equation<br />### Situation: Sarah earns $15 per hour babysitting. Let 'h' represent the number of hours Sarah babysits and 'e' represent her total earnings.<br />### Equation: The total earnings ('e') are equal to the hourly rate ($15) multiplied by the number of hours ('h'). This is represented by the equation: $e = 15h$.