Question
3. Thoko and her friend Lebo work part-time In a CD-shop where they get paid per hour. Lebo has more time available and works 15 hours per weekend, where Thoko only works for 7 hours per weekend. If they earn a total amount R1 100 , calculate the amount that each girl will receive.
Ask by Lee Simmons. in South Africa
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Thoko receives R350 and Lebo receives R750.
Solution
Let the hourly wage be \( x \) (in Rands per hour).
Since Thoko works 7 hours and Lebo works 15 hours, their earnings are:
- Thoko's earnings: \( 7x \)
- Lebo's earnings: \( 15x \)
The total earnings for the weekend are given as:
\[
7x + 15x = 22x
\]
We are told that:
\[
22x = 1100
\]
Solving for \( x \):
\[
x = \frac{1100}{22} = 50
\]
Thus, the hourly wage is R50 per hour.
Now, calculate each person's earnings:
- Thoko's earnings:
\[
7 \times 50 = 350
\]
- Lebo's earnings:
\[
15 \times 50 = 750
\]
Therefore, Thoko receives R350 and Lebo receives R750.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To find out how much each of them will earn, we first need to determine the total number of hours they worked together. Lebo works 15 hours, and Thoko works 7 hours, giving us a total of 15 + 7 = 22 hours. Now, we can break down their earnings per hour. The total amount is R1,100, so the hourly rate is R1,100 / 22 = R50 per hour. Next, we calculate each person's earnings based on the hours they worked. Lebo, working 15 hours, earns 15 * R50 = R750. Thoko, on the other hand, earns 7 * R50 = R350. So, Lebo will receive R750, while Thoko will receive R350. It's a fun little math exercise and shows how teamwork pays off!
