\( 578 \) tickets were sold for a band concert. Adult tickets cost \( \$ 2.00 \) and tickets for children were \( \$ 1.50 \) . If the total amount of cash from sales was \( \$ 985.00 \) , how any adult and how many children's tickets were sold?
Pregunta
Answer
let,
total adults = x , and total children = y
then according to question
total tickets = 578
x + y = 578 ....................(1)
and total amount sales = 985
2x +1.5y = 985 ..............(2)
we get two equations solve it 2×(1) - (2)
2x + 2y = 1156
2x + 1.5y = 985
0.5y = 171
y = \(\frac{171}{0.5}\)
y = 342
and
x = 236
so total adults = 236 and total children = 342