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equations and inequalities. 2. kevin buys 66 markers plus 5 packs of ma…

Question

equations and inequalities.

  1. kevin buys 66 markers plus 5 packs of markers. fernando buys 48 markers plus 8 packs of markers. kevin and fernando buy the same total number of markers.

part a: write an equation that models this scenario, let x represents the packs of markers.
part b: how many markers are in a pack?

Explanation:

Step1: Define variable and set up equation

Let \( x \) = markers per pack. Kevin's total: \( 66 + 5x \); Fernando's total: \( 48 + 8x \). They are equal:
\( 66 + 5x = 48 + 8x \)

Step2: Solve for \( x \)

Subtract \( 5x \) from both sides: \( 66 = 48 + 3x \)
Subtract 48 from both sides: \( 18 = 3x \)
Divide by 3: \( x = 6 \)

Answer:

Part A: \( 66 + 5x = 48 + 8x \)
Part B: 6