Question

Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equation that can determine when Sienna will have the same amount of money as Jacob?
8 Negative x tiles and 3 positive 1 tiles = 6 positive x tiles and 4 positive 1 tiles
8 x tiles and 3 positive 1 tiles = 6 x tiles and 4 positive 1 tiles
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
3 negative x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles

Answer 1

3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles.

This represents 8 + 3x = 6 + 4x (Sienna: $8 + $3/week, Jacob: $6 + $4/week). Solving: 3x + 8 = 4x + 6 → x = 2 weeks.