Q:

Kiera studied data collected on the school basketball team for one season she noticed that a player on the team had 13 successful free throws out of a total of 20 attempted free throws to find the percentage of the total free throws attempted by this player that were successful what are the ratios for 13/20 equals m/n what are the values of m and n in Kira’s equation

Accepted Solution

A:
If she is setting up a proportion to find the percent, the value of m would be any variable and the value of n would be 100.  When she solves the problem, m=65%.

13/20 is part out of whole.  The rest of the proportion will be "percent out of 100"; since we don't initially know the percent, we use a variable.  Thus we have

13/20 = m/100

Cross multiply:
20*x = 13*100
20x = 1300

Divide both sides by 20:
20x/20 = 1300/20
x = 65