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ralphmillerrr
08.07.2020 •
Mathematics
A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1100, How many children, students, and adults attended? Children Attended= ? Students Attended= ? Adults Attended=? PLEASE ANSWER ASAP
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Ответ:
x (children) = 58
y (students) = 66
z (adults) = 29
Step-by-step explanation:
Step 1: Write system of equations
x + y + z = 153
5x + 7y + 12z = 1100
1/2x = z
The best way to solve the systems of equations is to use an augmented matrix:
Top row: [1 1 1 | 153]
Middle row: [5 7 12 | 1100]
Bottom row: [1/2 0 -1 | 0]
And then put it in RREF form:
Top row: [1 0 0 | 58]
Middle row: [0 1 0 | 66]
Bottom row: [0 0 1 | 29]
Ответ:
The Last Graph is the answer