A band concert is attended by x adults, y teenagers, and z preteen children. These numbers satisfied the following equations. How many adults, teenagers, and children were present? x + 1.92y + 0.27z= 625.8 x+0.8y +0.2z = 420 3.37x+3.08y + 0.2z = 1376.4 There were adults, teenagers, and children present at the band concert.

Micah spent half of his money and an additional $324 on a television. Then he spent 1/6 of his remaining money and an additional $55 on a DVD player. Then he spent 0.4 of his remaining money and an additional $18 on a music player. If he has $168 left, how much was the television?

at a carnival, 700 tickets were sold for a total amount of $5,500. an adult ticket cost $10 and a children ticket cost $5. find the number of adult tickets (x) and the number of childrens tickets (y) sold.

A crate obtained apples and pears. There were 29 more apples than pears at first. After 1/3 of the apples were removed from the crate, there were 5 more apples than pears. What was the total number of apples and pears in the crate at first?

Trey made some biscuits, muffins and brownies. 4/7 are biscuits, 1/3 of them are muffins and the rest are brownies. There are 160 more muffins than brownies. How many biscuits, muffins and brownies does Trey have altogether?

Jane has two test grades of 83, four grades of 86, and 3 grades of 92 on her first nine math tests.  Her final exam will be weighted as three test grades. Write an equation in terms of the variable “x” that shows that Jane’s final grade for the term will be an “88.” What grade will Jane need to get on the final test to receive an 88 for the term?

A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from each class to be on a school board, how many different board can be selected? Show all work.   Show all work

Ally, Megan, Rachel and Liz shared a weekend babysitting job. Aly babysat 0.4 parts of the time, Megan babysat 1/4 of the time and Rachel and Liz shared the remaining time equally. If the entire babysitting job lasted 60 hours, how many hours did Liz babysit?

Corey had 1 3/4 as many sports cards as Miguel. When Miguel gave half of his sports cards to Corey, he then had 18 fewer sports cards than his friend. How many sports cards did Miguel have at first?

Molly and Arthur are taking their daughter Ginny on a roller coaster ride. For safety, they need to find their total weight before getting into the same car. Molly's weight is M kilograms, Arthur's weight is A kilograms, and Ginny's weight is G kilograms. The expression (M + A) + G describes their total weight. We can also use the expression A+ (G + M) to represent the same quantity. Match each amount in the situation with the expression that represents it. For reference: Molly is a female and an adult. Arthur is a male and an adult. Ginny is a female and a child.