a candy shop contains a total of 100 items. there are 25 chocolates, 17 cookies, and T number of truffles. write the equation that represents this situation.

1 answer

To find the total number of items in the candy shop, we can set up the following equation based on the information given:

Total items = Chocolates + Cookies + Truffles

According to the problem:

  • The total number of items is 100.
  • The number of chocolates is 25.
  • The number of cookies is 17.
  • The number of truffles is represented by \( T \).

Putting this together, we get the equation:

\[ 100 = 25 + 17 + T \]

To simplify it, we can combine the known quantities:

\[ 100 = 42 + T \]

Now, if we want to express \( T \), we can rearrange the equation:

\[ T = 100 - 42 \]

\[ T = 58 \]

Thus, the equation that represents your situation is:

\[ 100 = 25 + 17 + T \]

And we conclude that \( T = 58 \).