SOLUTION: ratio of boys to total students is 3:8. There are 10 girls. How many total students are there.

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Question 257997: ratio of boys to total students is 3:8. There are 10 girls. How many total students are there.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let B = the number of boys and G = the number of girls, then:
B%2F%28B%2BG%29+=+3%2F8 "The ratio of the number of boys (B) to total students (B+G) is 3:8 (3%2F8)."
G+=+10 "There are 10 girls." So...
%28B%2FB%2B10%29+=+3%2F8 Solve for B. Cross-multiply.
8B+=+3%28B%2B10%29 Simplify.
8B+=+3B%2B30 Subtract 3B from both sides.
5B+=+30 Divide both sides by 5.
highlight%28B+=+6%29 This is the number of boys.
The total number of students is:
B%2BG+=+6%2B10=highlight%2816%29