The blue mountain high school drama club is selling tickets to their spring musical. adult tickets are $4 and student tickets are $1. a total of 285 tickets are sold for $765. how many of each type of ticket are sold?

the number of adult tickets that were sold is 160

the number of students tickets that were sold is $125

Step-by-step explanation:

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

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

A total of 285 tickets are sold. This means that

x + y = 285

Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. This mean that

4x + y = 765 - - - - - - - - - - 1

Substituting x = 285 - y into equation 1, it becomes

4(285 - y) + y = 765

1140 - 4y + y = 765

- 4y + y = 765 - 1140

- 3y = - 375

y = - 375/-3 = 125

Substituting y = 125 into x = 285 - y, it becomes

x =285 - 125 = 160 tickets

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;