SmokeyRN
18.07.2019 •
Mathematics
The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total money received. on friday, a total of 63 tickets were sold, and the money collected was $742. if evening tickets are sold for $14 and matinee tickets are sold for $10, how many evening tickets and matinee tickets were sold?
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Ответ:
Let the number of evening tickets be y
Number of sold tickets = 63, this means that: x+y = 63 > equation I
Price of matinee ticket = 10 and price of evening tickets = 14
Total money collected = 742, this means that 10x + 14y = 742 > equation II
From equation I: x = 63 - y > equation III
Substitute by equation III in equation II:
10(63-y) + 14y = 742
630 - 10y + 14y = 742
4y = 742 - 630 = 112
y = 112/4 = 28
Substitute by the value of y is equation III:
x = 63-28 = 35
Based on the above calculations:
number of matinee tickets = x = 35 tickets
number of evening tickets = y = 28 tickets
Ответ:
12 4/5
Step-by-step explanation: