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4/9 of a group of students are girls. If there are 17 more boys than girls, How many students are there altogether? |
Answer» Answer:Alright, so let’s make the information given into equations b= # of boys g= # of girls x= total NUMBER of students = b + g 4/9(b+g)=g which becomes 4/9b + 4/9g = g 4/9b = 5/9g g= ((4/9)b)/(5/9) g + 17 = b Now solve for g g= b-17 Now set those both equal to each toher b-17 = (4/9b)/(5/9) b-17= 0.8b b-0.8b = 17 b(1–0.8) = 17 b(0.2) = 17 b= 17/0.2 b= 85 Now we know how MANY boys Solve for girls g = b-17 g=68 So there are 85 boys and 68 girls! HOPE IT HELPS YOU |
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