At the movie theater children admission is $5.20 and adult admission is $9.30 if 126 tickets were sold for a total sale of $872.50 how many children tickets were sold that day?

total ? of tickets = y of kids + x of adults or 170 = k +a

The money altogether = how much a kid's ticket costs y of kid's tickets + how much an adults ticket costs x of adults tickets

Or: $1172.00 = $5.20 + $8.40a

REWRITE:

170= k + a

a =170 - k

Add the first equation in the second equation.

1172  =  5.2k + 8.4 (170 - k)

1172 = 5.2k + 1428 - 8.4k

-256 = -3.2k

k= 80 tickets

Hope this helps!-Aparri

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: