At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num

Solution:

Here, x denotes the number of food tickets sold and y denotes the number of ride tickets sold.

Given the system of equations:

        ....[1]

             ....[2]

Replace [2] into [1] to obtain;

Apply the distributive property,

Combine like terms;

Add 20 to both sides to obtain;

Divide both sides by 7 to get;

y = 180

Plug this value into [2] to find x;

Therefore, the number sold of each ticket type is:

the number of food tickets sold: 350 and the number of ride tickets sold: 180