Answer: 12 small candles and 16 large candles.
Step-by-step explanation:
Notice that an small candle costs $4 and a large candle costs $6.
Let be "s" the number of small candles you sold and "l" the number of large candles you sold.
Set up a System of equations:
[tex]\left \{ {{4s+6l=144} \atop {s+l=28}} \right.[/tex]
Use the Elimination Method to solve it:
- Multiply the second equation by -4.
- Add the equations.
- Solve for "l".
Then:
[tex]\left \{ {{4s+6l=144} \atop {-4s-4l=-112}} \right.\\.......................\\2l=32\\\\l=16[/tex]
- Substitute the value of "l" into the second equation and solve for "s":
[tex]s+16=28\\\\s=12[/tex]
