Josh sold his bike for 10% less than he paid for it. IF he sold the bike for 585 how much did he pay for it?
−
10
=
585
−
O
O
⋅
100
−
10
100
=
585
−
O
O
⋅
100
100
−
0.1
=
585
−
O
O
−
0.1
=
585
O
−
O
O
−
0.1
=
585
O
−
1
−
0.1
+
1
=
585
O
−
1
+
1
0.9
=
585
O
O
0.9
0.9
=
585
O
O
0.9
O
=
585
0.9
O
=
650
To find out how much Josh paid for the bike, we can solve this problem using a simple equation. Let's assume the original price of the bike is "x."
According to the information given, Josh sold the bike for 10% less than he paid, which means he sold it for 90% of the original price. We can represent this mathematically as:
90% of x = 585
To solve for x, we need to find the original price before the 10% discount. We can do this by dividing both sides of the equation by 90% (or multiplying by 100/90 to convert the percentage to a decimal):
(90% of x) / (90/100) = 585
This simplifies to:
(0.90x) / (0.90) = 585
Canceling out the common factors of 0.90, we are left with:
x = 585 * (100/90)
Calculating this, we have:
x = 650
Therefore, Josh paid $650 for the bike originally.
585 = 0.9 x
643.5
.1x+x=585
1.1x=585
1.1 1.1
-------------
x= $643.50