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wariber [46]
3 years ago
8

Tickets to a show cost $10.50 for adults and $8.50 for students. A group of friends purchased 15 tickets for $149.50. How many a

dult tickets were purchased?
Mathematics
2 answers:
kolbaska11 [484]3 years ago
5 0

x - number of adult tickets

y - number of student tickets

{10.5x + 8.5y = 149.5

{x + y = 15

{x = 15 - y

{10.5(15 - y) + 8.5y = 149.5

{x = 15 - y

{157.5 - 10.5y + 8.5y = 149.5

{x = 15 - y

{-2y = -8

{y = 4

{x = 11

They purchased 11 adult tickets.

Grace [21]3 years ago
3 0

Answer: 11 adult tickets were purchased.

Step-by-step explanation:

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

Let y represent the number of adult tickets that were purchased.

A group of friends purchased 15 tickets. This is expressed as

x + y = 15

Tickets to a show cost $10.50 for adults and $8.50 for students. The total cost of the tickets purchased is

$149.50. This is expressed as

10.5x + 8.5y = 149.5 - - - - - - - - - - - -1

Substituting x = 15 - y into equation 1, it becomes

10.5(15 - y) + 8.5y = 149.5

157.5 - 10.5y + 8.5y = 149.5

- 10.5y + 8.5y = 149.5 - 157.5

- 2y = - 8

y = - 8/ - 2

y = 4

x = 15 - y = 15 - 4

x = 11

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3 0
3 years ago
Read 2 more answers
Tickets to the zoo cost $15 for adults and $11 for children. The school has a budget of $1500 for the field trip. An equation re
Alika [10]

It is not possible for 120 kids and 20 adults to go on the trip, but 120 students can go with a maximum of 12 adults so the expense of the trip can fall in the school's budget.

We know that tickets of the zoo cost $15 for adults and $11 for children.

The equation representing the budget for the trip is 15x + 11y = 1500.

where, x is the no. of adults and y is the number of children that are travelling.

If x = 20 and y = 120 then,

15(20)+11(120)=300+1320=1620 which is out of the budget of the school.

If 120 students want to go to school then, no. of adults that can travel can be determined as

15 x + 11 (120 )<= 1500

15x  <=1500-1320

15x<=180

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Therefore, we can conclude that 120 students and 20 adults cannot travel for the trip but 120 students can travel with a maximum of 12 adults among with them as it will cost school the trip in the budget.

Learn more about Linear Inequality here brainly.com/question/11897796

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ANSWER QUICKLY!!!!!
Delicious77 [7]
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