Chapter 8 linear appliCaTionS 231- Let x represent the wholesale price. 40% of the wholesale price is 0.40x.
The retail price is the wholesale price plus 40% of the wholesale price
plus $0.20:
xx
xx
x
++=
++=
++040020 300
1040 020300
1040 0...
...
(.). 220 300
140020 300
020020
140280
2=
+=
−−
=
=.
...
..
..
.xx
x^880
140
2.
x=
The wholesale price is $2.In the previous problems, we knew the percent and wanted the original quan-
tity. We will now be given two numbers and asked what percent one number is
of the other. We let x represent the unknown percent as a decimal number.
EXAMPLE
Find the percent.
5 is what percent of 8?
This sentence translates into 5 = x · 8
5 is what percent of 8
The equation to solve is 8x = 5.
8 x = 5
x =^5
8= 0.625 = 62.5%.So, 5 is 62.5% of 8.
8 is what percent of 5?
This question translates into the equation
8 = x · 5
5 x = 8
x^ = ^8 = . = %
5(^16160)
8 is 160% of 5.
EXAMPLE
Find the percent.