Question

If 157 people attend a concert and tickets for adults cost 3.75 while tickets for children cost 2.5 and total receipts for the concert was 492.5 how many of each went to the concert

Answer 1

Adults = 80 and 77 childs

Explanation:

Total= 157

Childs = X

Adults = Y

(Y)(3.75) + X(2.5) = 492.5

X + Y = 157 then X = 157-Y

Replacing:

3.75Y + (157 - Y)(2.5) = 492.5

3.75Y + 392.5 - 2.5Y = 492.5

1.25Y + 392.5 =492.5

1.25Y = 100

Y = 80

then

X+Y =157

X + 80 = 157

X = 77