Question

mikayla has $32 in her piggy bank. her sister, jessica, has $21. mikayla earns $10 a week by doing chores for her grandparents, while jessica earns $12 a week by mowing lawns. which expressions give how much more or less money mikayla has compared to jessica after x weeks? choose three correct answers. $32 + 10x - (21 + 12x)$ $11 - 2x$ $32 - 21 + 10x - 12x$ $2x - 11$ $11 + 22x$

Explanation:

Step1: Define total money for each

Mikayla's total: $32 + 10x$
Jessica's total: $21 + 12x$

Step2: Find difference (Mikayla - Jessica)

$$\begin{align} &(32 + 10x) - (21 + 12x)\\ &=32 + 10x - 21 - 12x \end{align}$$

Step3: Simplify the expression

$$\begin{align} &(32-21)+(10x-12x)\\ &=11 - 2x \end{align}$$

Step4: Rewrite equivalent expressions

1. $32 + 10x - (21 + 12x)$ (original difference form)
2. $32 - 21 + 10x - 12x$ (distributed form)
3. $11 - 2x$ (simplified form)

Answer:

$32 + 10x - (21 + 12x)$
$32 - 21 + 10x - 12x$
$11 - 2x$