Question

At a concert, there were 152 adult tickets sold. if the ratio of adult tickets sold to child tickets sold was 4 to 3, what was the combined amount of adult and child tickets sold?

Answer 1

The combined amount of adult and child tickets sold is 266

Solution:

Given that there are 152 adult tickets sold

Ratio of adult tickets sold to child tickets sold is 4 : 3

Therefore,

Adult tickets sold : child tickets sold = 4 : 3

Let the number of adult tickets sold be 4x

Let the number of child tickets sold be 3x

From given statement,

number of adult tickets sold = 152

$4x = 152\\\\x = \frac{152}{4} = 38$

Thus, number of adult tickets sold = 4x = 4(38) = 152

number of child tickets sold = 3x = 3(38) = 114

Combined amount of adult and child tickets sold:

number of adult tickets sold + number of child tickets sold = 152 + 114 = 266

Thus combined amount of adult and child tickets sold is 266