Respuesta :
Total sales of an Item
We know for any item, total sales are the product of the cost per item and number of products sold.
[tex]\bold{Total\ sales\ of\ item = Cost\ per\ item \times Number\ of\ products\ sold}[/tex]
Given to us,
Cost of T-shirts = $5,
Cost of shorts = $6,
Total sales = $1,040,
Also, people bought 4 times as many T-shirts as shorts.
Let's assume the sale of T-shirts is x, and the sale of shorts is y.
Also, people bought 4 times as many T-shirts as shorts.
So, x = 4y.
Total sales of Runyon Company's T-shirts,
[tex]\bold{Total\ sales\ of\ T-shirts = Cost\ per\ T-shirt\times Number\ of\ T-shirt\ sold}[/tex]
[tex]\bold{Total\ sales\ of\ T-shirts = \$ 5\times x=5x}[/tex]
Total sales of Runyon Company's shorts,
[tex]\bold{Total\ sales\ of\ shorts = Cost\ per\ shorts\times Number\ of\ shorts\ sold}[/tex]
[tex]\bold{Total\ sales\ of\ T-shirts = \$ 6\times y=6y}[/tex]
Total Sales of Runyon Company
Total Sales of Runyon Company = Total Sales of T-shirts + Total Sales of shorts
Substituting values,
$1,040 = 5x + 6y
substituting the value of x,
[tex]1,040 = 5(4y) + 6y\\1,040 = 20y + 6y\\1,040 = 26y\\26y = 1,040\\y = \dfrac{1,040}{26}\\\\y = 40[/tex]
we know,
x = 4y
x = 4(40)
x = 160
Hence, the sale of T-shirts is 160, and the sale of shorts is 40.
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