Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:
[tex]\frac{3}{8}[/tex] = [tex]\frac{27/3}{?}[/tex]
The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.
Simplify (Also replace the ? with an unknown variable):
[tex]\frac{3}{8}[/tex] = [tex]\frac{9}{n}[/tex]
Cross multiply:
3*n = 9*8
Simplify:
3n = 72
Divide both sides by 3:
n = 24
The team had 33 three point tries, 9 successes, and 24 fails.
-T.B.
