A toy store marks down every toy by 15% in January. How much does a toy cost during January, using #p# for the price in December?

Question

6619 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-21T18:44:09

See a solution process below:

The formula for the sale price of something is:

#s = p - (p * d)#

Where:

#s# is the sales price: what we are solving for in this problem.

#p# is the regular price or the price in December.

#d# is the discount: 15% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 15% can be written as #15/100#.

Substituting and simplifying gives:

#s = p - (p * 15/100)#

#s = 1p - (p * 15/100)#

#s = (1 - 15/100)p#

#s = (100/100 - 15/100)p#

#s = (100 - 15)/100p#

#s = 75/100p#

The January sales price would be:

#75/100p#

Or

#0.75p#