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maevemboucher78
24.06.2019 •
Mathematics
Suppose that there are two types of tickets to a show: advance and same-day. advance tickets cost $25 and same-day tickets cost $35. for one performance, there were 45 tickets sold in all, and the total amount paid for them was $1375 . how many tickets of each type were sold?
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Ответ:
For this case we propose a system of equations:
x: Variable representing the anticipated tickets
y: Variable representing the same day tickets
So:
We clear x from the first equation:
We substitute in the second equation:
We look for the value of x:
Thus, 20 of anticipated type and 25 of same day type were sold.
20 of anticipated type and 25 of same day type were sold.
Ответ:
20 advance tickets and 25 same-day tickets.
Step-by-step explanation:
Set up a system of equations.
Let be "a" the number of advance tickets and "s" the number of same-day tickets.
Then:
You can use the Elimination method. Multiply the second equation by -25, then add both equations and solve for "s":
Substitute
into an original equation and solve for "a":
Ответ: