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#31081

word problem

arithmetic

percentage

medium

75 sec

A community event had a total of $T$ participants. $P_{A} %$ of the participants were adults, $P_{C} %$ were children, and the remaining $K$ participants were volunteers. Which of the following expressions represents the total number of participants, $T$ , in terms of $P_{A}$ , $P_{C}$ , and $K$ ?

A.

$T = \frac{K}{100 - P _{A} - P _{C}}$

B.

$T = \frac{100 K}{P _{A} + P _{C}}$

C.

$T = \frac{100 K}{100 - P _{A} - P _{C}}$

D.

$T = K (100 - P_{A} - P_{C})$