Aling Sela cleans bottles for a local junk shop in their barangay. If the pay is ₱1.75 per bottle, how many bottles must she clean to earn ₱1,050.00
The Correct Answer and Explanation is:
Solution:
We are asked to find how many bottles Aling Sela must clean to earn ₱1,050.00 if she earns ₱1.75 per bottle.
Step 1: Identify the given values
- Pay per bottle = ₱1.75
- Total earnings desired = ₱1,050.00
Step 2: Write the equation
Total earnings = Number of bottles × Pay per bottle
Let x be the number of bottles.
So,
₱1.75 × x = ₱1,050.00
Step 3: Solve for x
To find x, divide both sides of the equation by ₱1.75
x = ₱1,050.00 ÷ ₱1.75
Step 4: Perform the division
₱1,050.00 ÷ ₱1.75 = 600
Final Answer:
Aling Sela must clean 600 bottles to earn ₱1,050.00.
Explanation:
This problem is a real-life example of using division to find how many units of work need to be completed to achieve a financial goal. The total amount Aling Sela wants to earn is ₱1,050.00, and she is paid ₱1.75 for each bottle she cleans. To find the number of bottles, we need to divide the total earnings by the rate per bottle.
The equation is straightforward: total earnings = pay per bottle multiplied by the number of bottles cleaned. By rearranging the equation to isolate the unknown variable (number of bottles), we divide the total earnings by the pay per bottle.
The division involves working with decimals, so it is essential to ensure accuracy. Dividing 1,050.00 by 1.75 gives 600, which means Aling Sela needs to clean exactly 600 bottles to meet her earning goal.
This type of problem applies not only in mathematics but also in budgeting, business, and daily life. Knowing how to calculate the quantity of work required based on pay rates helps in planning work schedules, estimating time, and setting realistic income targets. It also demonstrates the practical use of basic arithmetic operations like multiplication and division in solving everyday problems.
Thus, understanding this process equips individuals with useful problem-solving skills necessary for managing work and finances effectively.
