## Algebra 1

$5x + 2y = 250$ (0, 125), (50,0), and (20, 75) are three possible combinations
5 points per jewel and 2 points per star 250 points needed $5x + 2y = 250$ Let x = 0: $5x + 2y = 250$ $5*0 + 2y = 250$ $2y = 250$ $2y/2 = 250/2$ $y = 125$ Let y = 0: $5x + 2y = 250$ $5x + 2*0 = 250$ $5x = 250$ $5x/5 = 250/5$ $x = 50$ Let x = 20: $5x + 2y = 250$ $5*20 + 2y = 250$ $100 + 2y = 250$ $100 + 2y -100 = 250-100$ $2y = 150$ $2y/2 = 150/2$ $y = 75$