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 represent the number of weekend tickets and y represent the number of weekday tickets. Which system of equations

represents the situation?

Hint: When coefficients contain decimals that can be easily converted to whole numbers, it's good form to convert them.

This can be done by multiplying both sides of the equation by the same number that will clear the decimal.

A ricksaw 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 ricksaw 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?

a) y = x + 39

14y = - 19x + 666

b) y = - x + 39

15y = - 19x + 666

c) y = - x + 39

15y = 19x + 666

d) y = - x + 39

14y = - 19x + 666

e) y = x + 39

7y = - 9x + 333

Answer: d) y = - x + 39

14y = - 19x + 666

Explanation: X represents the number of weekend tickets, then the cost of all the tickets on the weekend is: 9.5x

Y is for weekdays, so the cost for all the tickets on the weekdays is: 7y

The company counted a total of 39 tickets: x + y = 39

Isolating y:

The number of total tickets:

x + y = 39

y = - x + 39

The total cost:

7y + 9.5x = 333

7y = - 9.5x + 333

Turning the coefficients an integer:

2.7y = 2.(-9.5)x + 2.333

14y = - 19x + 666

The equations that represent the situation are:

y = - x + 39

14y = - 19x + 333