The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.


What is the regular price of each piece of candy?

Verified Answer :

3.22 divided by 14 is .23.   .23 plus .15 is .38 cents per candy at regular price.

For this case, the first thing we should do is define a variable.

We have then:

  • x: regular price of each piece.

The equation modeling the problem is given by:

\(14 (x-0.15) = 3.22\)

From here, we clear the value of x.

We have then:

\(x-0.15 = \frac {3.22} {14}\\x-0.15 = 0.23\\x = 0.23 0.15\\x = 0.38\$\)

Answer:

The regular price of each piece of candy is:

\(x = 0.38\$\)