Answer: 245
Explanation:
From the question, Audreys free-throw percentage this season is 0.875 and if she makes only 13 of her next 20 free throws, the percentage will drop to 0.860. To calculate the number of free throws Audrey has made this season goes thus:
Audrey's current rate = 0.875
Let us say y out of z should be 0.875
y/z = 0.875 ........ equation i
Therefore,
y+13/z+20 = 0.860 ........ equation ii
Recall that y/z = 0.875
y = 0.875z
Put the value of y into equation ii
y+13/z+20 = 0.860
0.875z + 13/z + 20 = 0.860
Cross multiply
0.875z + 13 = 0.860(z + 20)
0.875z + 13 = 0.860z + 17.2
Collect like terms
0.875z - 0.860z = 17.2 - 13
0.015z = 4.2
z = 4.2/0.015
z = 280
Since y =0.875z
y = 0.875 × 280
y= 245
Therefore, the number of throws Audrey made this season is 245
