Percentage of Widget A Sales

A manufacturing company produces two types of widgets, A and B. Over the last quarter, the company sold a total of 12,000 widgets. The sales data shows that the sales of widget A increased by 20% compared to the previous quarter, while the sales of widget B decreased by 10% during the same period. If the total sales of widgets A and B in the previous quarter were 10,000 widgets, what percentage of the total sales in the last quarter were of widget A?

Let’s denote the previous quarter sales of widget A as 'x' and of widget B as 'y'. Thus, we have:

1. x + y = 10,000

2. Sales of widget A last quarter = x + 0.2x = 1.2x

3. Sales of widget B last quarter = y - 0.1y = 0.9y

4. The total sales last quarter = 12,000

Using these relationships, calculate the percentage of total sales that widget A constituted in the last quarter.