Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Select the correct answer.

Lisa and Daisy work at a hair salon. The salon charges [tex]\$18[/tex] for a hair styling session with Lisa and [tex]\$12[/tex] for a session with Daisy. The income on a certain day is projected to be [tex]\$216[/tex]. This situation can be represented by the equation [tex]18x + 12y = 216[/tex], where [tex]x[/tex] is the number of Lisa's customers and [tex]y[/tex] is the number of Daisy's customers. How many customers would Lisa need to serve to attain the projected income if Daisy calls in sick that day? (Note: [tex]x \geq 0, y \geq 0[/tex], and [tex]x[/tex] and [tex]y[/tex] take only integer values.)

A. 8
B. 12
C. 18
D. 22

Sagot :

GinnyAnswer
To solve the question of how many customers Lisa would need to serve if Daisy calls in sick, we'll work through the given equation step-by-step.

The equation given is:

[tex]\[ 18x + 12y = 216 \][/tex]

Here:
- [tex]\( x \)[/tex] represents the number of customers served by Lisa.
- [tex]\( y \)[/tex] represents the number of customers served by Daisy.
- The salon's projected total income for the day is $216.

Given that Daisy is sick on this particular day and thus will not serve any customers, we can set [tex]\( y \)[/tex] to 0 in the equation. This simplifies our equation to:

[tex]\[ 18x + 12(0) = 216 \][/tex]

which reduces to:

[tex]\[ 18x = 216 \][/tex]

Next, to find the value of [tex]\( x \)[/tex], we divide both sides of the equation by 18:

[tex]\[ x = \frac{216}{18} \][/tex]

[tex]\[ x = 12 \][/tex]

Therefore, the correct answer is that Lisa would need to serve 12 customers to reach the projected income, given that Daisy is not working that day.

Thus, the correct answer is:

B. 12
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.