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Nata [24]
3 years ago
12

HELP: Cho charges $1500 to build a small deck and $2500 to build a large deck. During the spring and summer, she built 5 more sm

all decks than large decks.
If she earned $23,500 how many of each type of deck did she build?
Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

if she build x numbers of large decks, therefore small decks would be (x + 5)

1500*(x+5)+2500x   =23500

1500x+7500+2500x=23500

4000x+7500             =23500

                        4000x=23500-7500

                         4000x=16000

                                  x=4

4+5=9

cho built 4 large decks and 9 small decks

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Answer: 200 adult tickets and 400 student tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of student tickets that were sold.

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $850, the expression would be

1.75x + 1.25y = 850- - - - - - - - - -1

Suppose there are twice as many student tickets sold as adult tickets. This is expressed as

y = 2x

Substituting y = 2x into equation 1, it becomes

1.75x + 1.25 × 2x = 850

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x = 850/4.25

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