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Algebra
Pregunta

\( 578 \) tickets were sold for a band concert. Ad...

\( 578 \) 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? 

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

 

 

Solución
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