Question 1130340
The ratio of the number of boys to the number of girls in a theater is 7:9. There are 12 more girls than boys in the theater. How many children are in the theater.
<pre>Let the multiplicative factor be x
Then number of boys and girls are 7x, and 9x, respectively
As given, 7x = 9x - 12
7x - 9x = - 12
- 2x = - 12
{{{matrix(1,5, x, "=", (- 12)/(- 2), "=", 6)}}}
{{{highlight_green(matrix(1,13, Number, of, "children:", 7x, "+", 9x, ",", or, 16x, "=", 16(6), "=", 96))}}}