Atotal of 243 adults and children are at a movie theater. there are 109 more adults than children in the theather. how many adults are there?

134 adults in total.

This is the info we know:

Total people is 242

Number of kids is unknown

Numbers of adults are equal to kids plus 109

This is what we can deduce from the info:

Total = kids + (kids + 109)

Let get started!:

243 = K + (K + 109)

distribute the + sign

243 = K + K + 109

add like terms

243 = 2k + 109

subtract 109 by from side

134 = 2k

divide 2 from both sides

67 = k

We aren't finished:

We know there are 67 kids but now we need to know how many adults. Simply add 109 to 67.

NUMBER OF ADULTS IS 176

Please please please let me know if you have any questions ^-^

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,