Final answer:
To save at least $1200 per month, Moshde needs to do at least 48 haircuts and styles.
Step-by-step explanation:
To determine the number of haircuts and styles that Moshde needs to do to save at least $1200 per month, we need to set up an equation.
Let x represent the number of haircuts and styles Moshde needs to do.
Her income from haircuts and styles is $35 times the number of haircuts and styles: 35x.
Her total monthly expenses are $480. To save at least $1200, her income from haircuts and styles must be greater than her expenses plus $1200.
So, the equation is: 35x > 480 + 1200.
We can simplify the equation by combining like terms: 35x > 1680.
Finally, we divide both sides of the equation by 35 to solve for x: x > 48.
Therefore, Moshde needs to do at least 48 haircuts and styles per month to save at least $1200.