adult tickets to a basketball game cost $5. student tickets cost $1. A total of $2,459 was collected on the sale of 1,119 ticket

Question

madam [21]

3 years ago

7

adult tickets to a basketball game cost $5. student tickets cost $1. A total of $2,459 was collected on the sale of 1,119 ticket

s. how many of these type of tickets was sold?

Mathematics

1 answer:

MakcuM [25] · Answer 1 · 2022-03-23T04:07:13+03:00

335 adult tickets and 784 student tickets were sold.

Step-by-step explanation:

Given,

Price of adult ticket = $5

Price of student ticket = $1

Suppose,

Adults = x

Students = y

According to price;

5x + 1y = 2459 Eqn 1

and tickets sold are;

x + y = 1119 Eqn 2

$Subtracting\ Eqn\ 2\ from\ Eqn\ 1;\\(5x+y)-(x+y)=2459-1119\\5x+y-x-y=1340\\4x=1340\\Dividing\ both\ sides\ by\ 4\\\frac{4x}{4}=\frac{1340}{4}\\x=335\\$

Putting value of x in Eqn 2;

$335+y=1119\\Subtracting\ 335\ from\ both\ sides\\335-335+y=1119-335\\y=784$

335 adult tickets and 784 student tickets were sold.

Keywords: Linear equations, subtraction.

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