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deanlmartin
06.04.2020 •
Mathematics
At a college production of a play, 420 tickets were sold. The ticket prices were $8, $10, and $12, and the total income from ticket sales was $3900. How many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 5 times the number of $12 tickets sold?
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Ответ:
There were 220 tickets of $8, 130 tickets of $10 and 70 tickets of $12 were sold.
Step-by-step explanation:
Given,
Total number of tickets sold = 420
Total money collected = $3900
We need to find the number of each type of ticket.
Solution,
Let the number of $8 ticket be 'x'.
Also let the number of $10 ticket be 'y'.
And also let the number of $12 ticket be 'z'.
So the total number of tickets is equal to the sum of the number each type of ticket.
framing in equation form, we get;
Also given the combined number of $8 and $10 tickets sold was 5 times the number of $12 tickets sold.
So we can frame it as;
Now substituting the value of equation 2 in equation 1, we get;
On dividing both side by '6' using division property, we get;
Now we get from equation 1;
Also we can say that;
Total money collected is equal to 8 multiplied by number of $8 ticket plus 10 multiplied by number of $10 ticket plus 12 multiplied by number of $12 ticket.
framing in equation form we get;
Now we will substitute value of z in above equation we get;
Now Dividing by 10 we get;
subtracting equation 4 from equation 3 we get;
Dividing both side by 0.2 we get;
Now substituting the value of x in equation 3 we get.
Hence There were 220 tickets of $8, 130 tickets of $10 and 70 tickets of $12 were sold.
Ответ:
9.7 seconds to the nearest tenth.
Step-by-step explanation:
He falls for a distance of 1,500 ft.
We use the equation of motion s = 1/2 * 32 * t^2 where s = distance and t = time.
1500 = 16 * t^2
t^2 = 93.75
t = 9.7 seconds answer.