Question

A rickshaw company counted 39 ticket receipts last week. The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week. Let x represent the number of weekend tickets and y represent the number of weekday tickets. Which system of equations represents the situation

Answer 1

Answer: y = -x + 39

14y = -19x + 666

Explanation:

There are two relationships given in the question. These are the number of tickets sold and the cost of the tickets sold. The total number of weekend and weekday ticket receipts is 39. This gives the equation x+y=39. Solving this equation for y gives y=−x+39. Now, we write an equation for the cost of the tickets sold. A weekday ticket costs $7, a weekend ticket costs $9.50, and the total money collected was $333. This gives the equation 7y+9.5x=333. Multiplying both sides by 2 to clear the decimal gives 14y+19x=666. This is equivalent to 14y=−19x+666.

Answer 2

x+y = 39 and 14y+19=666

Explanation:

Let x is the no of tickets for the weekend and y for the weekday.

The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week.

Equation (1) should be :

x+y = 39 (because a rickshaw company counted 39 ticket receipts last week)

Equation (b) should be :

7y+9.5=333

Multiplying both sides by 2.

14y+19=666

Hence, the two equations that represent the situation are :

x+y = 39 and 14y+19=666