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Yuri [45]
2 years ago
9

Ken bought 2 video games and 1 DVD for a total of $105. Jerome bought 1 video game and 4 DVDs for a total of $80. Which system o

f equations can be
used to find the cost, in dollars, of each video game (v) and each DVD (d) at the store?
Mathematics
1 answer:
Zigmanuir [339]2 years ago
5 0

Answer:

I think that the Linear system of equations can be used to find the cost.

Step-by-step explanation:

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Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of ​$174,000, then;

25x + 40y = ​174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = ​174,000.

25(6000-y) + 40y = ​174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

<em>Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000</em>

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Answer:

See below.

Step-by-step explanation:

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