Question

Moshde runs a hairstyling business from her house. She charges $35 for a haircut and style. Her monthly expenses are $480. She wants to be able to put at least $1200 per month into her savings account in order to open her own salon. How many cuts and styles must she do to save at least $1200 per month?

a) 14
b) 16
c) 18
d) 20

Answer 1

Moshde needs to provide at least 48 haircuts and styles per month to save at least $1200 after covering her $480 monthly expenses.

Step-by-step explanation:

The student needs to calculate how many haircuts and styles must be provided to save at least $1200 per month, given a set price for the service and monthly expenses. To solve this, we set up an equation where the cost of each haircut ($35) multiplied by the number of haircuts (x) minus monthly expenses ($480) equals the desired savings ($1200).

Mathematically, this is expressed as:
35x - 480 ≥ 1200

Solving for x, we add 480 to both sides of the equation:
35x ≥ 1200 + 480
35x ≥ 1680
Now, we divide both sides by 35 to find x:
x ≥ 48

Since x represents the number of haircuts and we cannot have a fraction of a haircut in this context, Moshde needs to complete at least 48 haircuts and styles to achieve her savings goal.