Question 257997
Let B = the number of boys and G = the number of girls, then:
{{{B/(B+G) = 3/8}}} "The ratio of the number of boys (B) to total students (B+G) is 3:8 ({{{3/8}}})."
{{{G = 10}}} "There are 10 girls." So...
{{{(B/B+10) = 3/8}}} Solve for B. Cross-multiply.
{{{8B = 3(B+10)}}} Simplify.
{{{8B = 3B+30}}} Subtract 3B from both sides.
{{{5B = 30}}} Divide both sides by 5.
{{{highlight(B = 6)}}} This is the number of boys.
The total number of students is:
{{{B+G = 6+10}}}={{{highlight(16)}}}