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O SYSTEMS OF LINEAR EQUATIONSPaulSolving a value mixture problem using a system of linear equ.EspaMolSuppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. Forone performance, 35 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $1575. What was the price of each kind ofticket?Note that the ALEKS graphing calculator can be used to make computations easier.Advance ticket: $Same-day ticket: S ||Aa

Question
O SYSTEMS OF LINEAR EQUATIONS
Paul
Solving a value mixture problem using a system of linear equ.
EspaMol
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. For
one performance, 35 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $1575. What was the price of each kind of
ticket?
Note that the ALEKS graphing calculator can be used to make computations easier.
Advance ticket: $
Same-day ticket: S ||
Aa
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O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ. EspaMol Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. For one performance, 35 advance tickets and 15 same-day tickets were sold. The total amount paid for the tickets was $1575. What was the price of each kind of ticket? Note that the ALEKS graphing calculator can be used to make computations easier. Advance ticket: $ Same-day ticket: S || Aa

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Step 1

Let the cost of advance ticket be $x.

Let the cost  of same day be $y.

The combined cost of one advanced ticket and one same day ticket is $65.

xy65 (1)
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xy65 (1)

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Step 2

For one performance, 35 advance ticket and 15 same day ticket were sold and the total cost is 1575, then,

35x+15y 1575 ...2
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35x+15y 1575 ...2

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Step 3

Multiply equation 2 with 15 and su...

35х +15у%3D1575
15х +15у %3D975
20х 3 600
х %3 30
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35х +15у%3D1575 15х +15у %3D975 20х 3 600 х %3 30

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