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Bogdan [553]
2 years ago
15

Tickets to the concert cost $5.00 for adults and $2.50 for children. A group of 17 people went to the concert and paid $57.50 fo

r tickets. How many adult tickets were purchased? How many children's tickets were purchased?
Mathematics
1 answer:
Vilka [71]2 years ago
3 0

6 adults and 11 children.

In order to solve this problem we going to use linear equations.

A group of 17 people went to the concert. There are adults and children in that group x + y = 17 where x are adults and y are children. That group pay $57.50 for tickets, if tickets cost $5.00 for adults and $2.50 for children, then 5.00x + 2.50y = 57.50.

x + y = 17 ---------->  y = 17 - x

Substituting the value of y in the equation 5.00x + 2.50y = 57.50:

5.00x + 2.50(17 - x) = 57.50 solving

x = 6

Substituting x = 6 in the equation x + y = 17

6 + y = 17 solving

y = 11

From a group of 17 people who went to the concert 6 are adults and 11 are children.

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Which of the following equation is true ?
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Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string
Nat2105 [25]

Answer:

See explanation

Step-by-step explanation:

Your question is different from the attachment

Statement 1

1 adult + 5 Children

$4 for adult and total of $16 for both adult and children

Let

Cost of children skating = x

The equation is

4 + 5x = 16

Statement 2:

Cost of making a bike bag= $4

Selling price of the bike bag = $5

Profit = $16

Let x = number of bike bag

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16 = 5x - 4x

16 = x(5 - 4)

Also written as

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length of first yo-yo = 1 3/4

length of second yo-yo = 1

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Total = 4 1/3

Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo

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