SOLUTION: Write the equation and solve A pair of jeans is on sale for 15percent off the original price.The sale price of the jeans is $ 29.74. what is the original price. a bank te

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Question 27923: Write the equation and solve

A pair of jeans is on sale for 15percent off the original price.The sale price of the jeans is $ 29.74. what is the original price.

a bank teller is counting his money and notices that he has an equal number of tens and twenties . He also has $147 in other bills. If the total value of the bills he has is $1167, how manytens and twenties does he have?

please help me answer the questions above. Me and my mom have tried figureing them out and havent suceded.
thank you
Answer by bmauger(101) (Show Source):
You can put this solution on YOUR website!
Call the original price of the jeans x. So 15% of the original price would be 15% times x or .15x. So when we take the orginal price, subtract the discount (since it's "15% off) we get the equation:
Combine x's
Divide both sides by .85:
$34.99 at 15% off ($5.25 discount) leaves us with $29.74 jeans. Check.
For problem 2, first let's get rid of the "other bills" and focus only on tens and twenties. Because he had $147 in other bills, and a total of $1167, that means the total from 10s and 20s must be 1167-147=$1020.
Lets call the number he has of each x. So he has x 10s and he has x 20s. The value from the 10s is 10x (for instance if he had 7 tens the value would be 10*7=70). Likewise the value from the 20s is 20x. When we add the two values we get 10x+20x. Because we already figured that this sum must be $1,020 we can write:
Combining x's again:
Divide:

So the teller had 34 tens ($340) and 34 twenties ($680) and the $147 in "other bills" for a grand total of $1167. Check.