A credit card gives 2% cash back on purchases. You purchase $1,685.90 in items with that card. What is your reward amount?

1 Answer
Jan 4, 2017

The reward amount is $33.72


We can rewrite this problem as:

What is 2% of $1,685.90?

"Percent" or "%" means "out of 100" or "per 100", Therefore 2% can be written as #2/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the reward amount we are looking for "r".

Putting this altogether we can write this equation and solve for #r# while keeping the equation balanced:

#r = 2/100 xx $1,685.90#

#r = ($3,371.8)/100#

#r = $33.72# rounded to the nearest penny.