Question

Suppose the ratio of girls to boys in your school is 19:17. There are 1908 students altogether. Write and solve a system of equations to find the total number of boys and girls in the school.​

Answer 1

901 boys and 1007 girls

Explanation:

let b be the number of boys

let g be the number of girls

`b + g = 1908\\17g = 19b\\g = (19)/(17) b\\b+(19)/(17) b = 1908\\2(2)/(17)b = 1908\\b = 901\\901 + g = 1908\\g = 1007`