Question

1. consider the model below, where each bag of chips represents x and each bill represents 1 dollar.

image of chips and bills model
write and solve an equation based on the model for x, the value of a single bag of chips.
enter your next step here

Explanation:

Step1: Count chips and bills left

Left side: $4$ bags, $3$ bills → $4x + 3$

Step2: Count bills right

Right side: $12$ bills → $12$

Step3: Set up equation

$4x + 3 = 12$

Step4: Subtract 3 from both sides

$4x + 3 - 3 = 12 - 3$
$4x = 9$

Step5: Divide by 4

$x = \frac{9}{4}$
$x = 2.25$

Answer:

The equation is $4x + 3 = 12$, and the value of a single bag of chips is $\$2.25$ (or $\frac{9}{4}$ dollars).