Answer:
17 blue and 7 red sweatshirts were sold
Step-by-step explanation:
We set up a simultaneous equation and solve:
Let r represent the number of red sweatshirts and b represent blue ones.
The total sweatshirts is 24. This gives us:
[tex]r+b=24[/tex]
Red ones cost $10.95
and blue ones cost $12.50
and the total is $289.15
This also gives the equation:
[tex]10.95r+12.5b=289.15[/tex]
From the first equation we have:
[tex]b=24-r[/tex]
We replace b in the second equation to get:
[tex]10.95r+12.5(24-r)=289.15[/tex]
[tex]10.95r+300-12.5r=289.15[/tex]
[tex]10.95r-12.5r=289.15-300[/tex]
[tex]-1.55r=-10.85[/tex]
[tex]r=7[/tex]
This means that
b=24-7=17
