The sweater shop projected income this year will be 69,000. That amount represents 40% of the shops annual sales. What is the shops projected sales
0.4x = 69,000
x = 69,000 / 0.4
x = $172,500
To find the shop's projected sales, we can set up a proportion using the information given. Let's assume the shop's projected sales as "x".
We know that the projected income of $69,000 represents 40% of the shop's annual sales. To set up the proportion, we can say:
$69,000 is to x as 40 is to 100
This can be written as:
69,000/x = 40/100
To solve for "x," we can cross-multiply and solve the equation:
40x = 69,000 * 100
Now, divide both sides of the equation by 40 to isolate "x":
x = (69,000 * 100) / 40
Calculating this:
x = 172,500
Therefore, the shop's projected sales for the year would be $172,500.