Question

The student council is selling Fall festival t-shirts. Long sleeve shirt sell for $12 and short sleeve shirts are $2 less. They sell 606 shirts for a total of $6,778. How many long sleeve shirts were sold?

Answer 1

359 long sleeve shirts were sold

Explanation:

Step one:

given data

let long sleeve shirts be x

and short sleeve shirts be y

Long sleeve shirt sell for $12

short sleeve shirts are $2 less= 12-2= $10

They sell 606 shirts

x+y=606--------1

total cost of the shirts =$6,778.

12x+10y=6778-------------2

therefore the systems of equation for the situation si

x+y=606--------1

12x+10y=6778-------------2

from eqn 1, x=606-y

put x=606-y in eqn 2. we have

12(606-y)+10y=6778

7272-12y+10y=6778

solve for y

-2y=6778-7272

-2y=-494

2y=494

divide both sides by 2

y=4944/2

y=247

put y= 247 in eqn 1

x+247=606

x=606-247

x=359

Hence, 359 long sleeve shirts were sold?