Question
c) \( 5 c=-50 \) \[ (-10 ; 10 ; 45) \] d) \( 2 p+1=5 \) \( (1 ; 2 ; 4) \) 4. Komal sells five cups of hot chocolate for R30. She writes the record of her sales in the equation \( 5 x=30 \). If \( x \) is the cost of each cup of hot chocolate, at what price did Komal sell each cup?
Ask by Fitzgerald Pearson. in South Africa
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Part c: \( c = -10 \)
- Part d: \( p = 2 \)
- Each cup of hot chocolate was sold for R6.
Solution
Let's solve the problems step by step.
### Part c: Solve the equation \( 5c = -50 \)
1. **Isolate \( c \)**: To find \( c \), divide both sides of the equation by 5.
\[
c = \frac{-50}{5}
\]
2. **Calculate**:
\[
c = -10
\]
So, the solution for part c is \( c = -10 \).
### Part d: Solve the equation \( 2p + 1 = 5 \)
1. **Isolate \( p \)**: First, subtract 1 from both sides.
\[
2p = 5 - 1
\]
\[
2p = 4
\]
2. **Divide by 2**:
\[
p = \frac{4}{2}
\]
3. **Calculate**:
\[
p = 2
\]
So, the solution for part d is \( p = 2 \).
### Problem 4: Komal sells five cups of hot chocolate for R30
1. **Set up the equation**: The equation given is \( 5x = 30 \), where \( x \) is the cost of each cup of hot chocolate.
2. **Isolate \( x \)**: Divide both sides by 5.
\[
x = \frac{30}{5}
\]
3. **Calculate**:
\[
x = 6
\]
Thus, Komal sold each cup of hot chocolate for R6.
### Summary of Solutions:
- Part c: \( c = -10 \)
- Part d: \( p = 2 \)
- Price of each cup of hot chocolate: R6
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find the price Komal sold each cup of hot chocolate, you solve the equation \( 5x = 30 \). By dividing both sides by 5, you find \( x = 6 \). So, each cup was sold for R6. Easy as pouring a cup of hot chocolate! This scenario isn’t just about numbers; it reflects a real business situation! Many small business owners, like Komal, set pricing based on their costs and target profits. If you ever want to go into sales, remember: understanding your costs is key to setting a price that not only covers expenses but also brings in some sweet profit!