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DaniilM [7]
3 years ago
11

A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the balcony seats cost $35 each. The theater coll

ected $44,350 in ticket sales for the performance. How many balcony tickets were sold?
Mathematics
2 answers:
Usimov [2.4K]3 years ago
7 0

Answer:310

Step-by-step explanation:

dedylja [7]3 years ago
7 0

Answer:

Balcony tickets = 310

Step-by-step explanation:

Let x be orchestra seat

and y be balcony seat

x + y = 980

x = 980 - y................ (1)

50x + 35y = 44350

Substituting in equation 2,

50 (980 - y) + 35y = 44350

y = 310

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Answer:

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Step-by-step explanation:

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during a football game the parents of the football players sell pretzels and popcorn to raise money fir new uniforms they charge
GrogVix [38]

Answer:

96 bags of popcorn and 48 pretzels

Step-by-step explanation:

Let

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y ----> the number of pretzels sold

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2.50x+2y=336 ----> equation A

x=2y ---> equation B

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3 years ago
What is Point slope form
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7 0
3 years ago
Read 2 more answers
Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = \frac{5}{8}\times x

Remaining votes = x - \frac{5}{8}\times x

                            = \frac{8x-5x}{8}\times x

                            = \frac{3}{8}\times x

Votes for green = \frac{5}{9}\times (\text{Remaining votes})}

                          = \frac{5}{9}\times \frac{3x}{8}

                          = \frac{5}{24}\times x

Finally remaining votes = \frac{3x}{8}-\frac{5x}{24}

                                       = \frac{9x-5x}{24}

                                       = \frac{4x}{24}

                                       = \frac{x}{6}

Since these votes are for red therefore,

\frac{x}{6} = 48

x = 48×6

  = 288

a) Votes for blue are \frac{5x}{8}

Therefore, exact number for blue votes = \frac{5\times 288}{8}

= 5×36

= 180

b). Votes for green = \frac{5x}{24}

= \frac{5\times 288}{24}

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = \frac{7}{10}\times 180

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = \frac{288}{2}

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0
3 years ago
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