Mr Wee bought t-shirts at $5 each and sold them at $9each. Those who bought 2 t-shirts from him were given one t-shirt free. At the end of the sale, Mr Wee made a total of $1288 and 120 t-shirts were given free. How many customers bought only 1 t-shirt?
If x bought 2 shirts and y bought only 1, then
x = 120
9(2x+y) = 5(2x+y+120) + 1288
y = 232
To solve this problem, we can break it down into steps:
Step 1: Determine the number of t-shirts sold without the free t-shirts.
Let's assume that the number of t-shirts sold without the free t-shirts is "x."
Since Mr Wee sold each t-shirt for $9 and made a total of $1288, we can establish the equation:
$x \times 9 = 1288$
Step 2: Calculate the number of customers who bought 2 t-shirts.
We know that Mr Wee gave away 120 free t-shirts, and for each pair of t-shirts sold, one t-shirt was given for free.
Therefore, the number of customers who bought 2 t-shirts is:
$2 \times \text{(number of free t-shirts given)} = 2 \times 120$
Step 3: Determine the number of customers who bought 1 t-shirt.
The total number of customers who bought either 1 or 2 t-shirts can be expressed as:
$\text{(number of customers who bought 1 t-shirt)} + \text{(number of customers who bought 2 t-shirts)}$
Step 4: Substitute the values obtained in Steps 1, 2, and 3 into an equation to solve for the number of customers who bought only 1 t-shirt.
$9x + 2 \times 120 = 1288$
Now, let's solve this equation:
$9x + 240 = 1288$
$9x = 1048$
$x = 116$
Therefore, the number of customers who bought only 1 t-shirt is 116.