Question

Styline Menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the total order amounted to $9,862.50 for 375 shirts, how many short-sleeve were ordered?

Answer 1

Given that,

The price of one short-sleeve shirt = $23

Also the price of one long-sleeve shirt = $28.50

Let the total number of short-sleeve shirts ordered is X and the total number of long-sleeve shirts ordered is Y.

Since the total number of shirts is 375.

So X+Y=375.............(1)

Also the total orderd amount is $9,862.50.

So 23X + 28.50Y = 9862.50...........(2)

Multiplying equation (1) by 28.50,we get

28.50 × X + 28.50 × Y = 28.50 × 375

28.50X + 28.50Y = 10687.5.............(3)

Now subtracting equation (2) by equation (3),we get

28.50X + 28.50Y - 23X - 28.50Y = 10687.5 - 9862.50

5.50X = 825

X = 825/5.50

X = 150

So the total number of short-sleeve shirts ordered =150.