A ski resort charges $80 for adult all-day passes and $35 for children's all-day passes. On a particular day, they made $55,750 in sales. They also know that they sold 761 passes altogether. How many of each ticket did they sell?
+130560 A ski resort charges $80 for adult all-day passes and $35 for children's all-day passes. On a particular day, they made $55,750 in sales. They also know that they sold 761 passes altogether. How many of each ticket did they sell?
We have this system of equations
x + y = 761
80x + 35y = 55750
Where x is the number of adult tickets and y is the number of children's tickets
Using the first equation, we can arrange it as y = 761 - x
And substituting this into the second equation for y, we have
80x + 35(761 - x) = 55750 simplify
80x + 26635 - 35x = 55750
45x = 29115 divide both sides by 45
x = 647 and this is the number of adult tickets sold
And y = 761 - 647 = 114 = children's tickets sold
