Question

Drama students are selling tickets to their production of Dracula. A total of 143 tickets were sold for Saturday’s matinee. An adult ticket costs $7, and a student ticket costs $5. A total of $821 was collected. The students wrote the system of equations below and found that the solution was (90, 53).

(Equation Below)

How much money did they make on adult tickets?
A. They made $53 on adult tickets.
B. They made $90 on adult tickets.
C. They made $265 on adult tickets.
D. They made $371 on adult tickets.

Answer 1

Hello!

The answer they got is (90, 53)

This means that x is 90 and y is 53

Multiply the amount of adult tickets sold by the amount they cost

7(53) = 371

They made $371 on adult tickets

The answer is D

Hope this helps!

Answer 2

They made $371 on adult tickets.

The correct option is (D)

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables.

But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables.

Algebraic Expressions

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/).

example:

algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable. Further, the variables can be simple variables using alphabets like x, y, z or can have complex variables like x2, x3, xn, xy, x2y, etc.

Given:

the solution is  (90, 53)

i.e., x=90 and y = 53

Now, for adults tickets

=  amount of adult tickets *  amount they cost

= 7(53)

=371

Hence, They made $371 on adult tickets

Learn more about Algebra here:

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