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The ratio of numbers of girls and boys participating in sports of a school is 1 : 5. If the number of girls is 239, determine the number of boys participating in the sports.
1215
1225
1195
1170
1195
Since the ratio of girls to boys is 1:5, simply multiply the number of girls by 5: 239├Ч5=1195.
Ratio of girls to boys = 1 : 5, Number of girls = 239
Number┬аof┬аBoys=Number┬аof┬аGirls├Ч(Ratio┬аPart┬аof┬аGirlsRatio┬аPart┬аof┬аBoysтАЛ)
Since the ratio of girls to boys is 1:5, simply multiply the number of girls by 5: 239├Ч5=1195.
Students often divide the number of girls by 5 instead of multiplying, or confuse the terms in the ratio resulting in an incorrect cross-multiplication.
Identify Given Data
Let the ratio of girls to boys be 1:5. The given number of girls is 239.
Girls:Boys=1:5
Set Up Ratio Equation
Represent the ratio as a fraction: BoysGirlsтАЛ=51тАЛ. Substitute the number of girls 239 into the equation.
Boys239тАЛ=51тАЛ
Calculate the Number of Boys
Cross-multiply to find the number of boys: Boys=239├Ч5.
Boys=1195
C is correct because multiplying the given 239 girls by the boy-to-girl ratio factor of 5 yields 1195 boys.
In ratio problems involving sub-groups, always map the unit value first; here 1┬аunit=239, so 5┬аunits=5├Ч239, a concept frequently used in mixture and partnership problems.