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3. The average weight of 10 boys is 50 kg and that
of 15 girls is 40. What is the average weight of
boys and girls together?
Answers
Answer:
52 kg
Step-by-step explanation:
The total weight of the 10 boys is 550 kg,
\text{Average Weight of boys} =\frac{\text{Total weight of 10 boys}}{\text{Number of boys}}Average Weight of boys=
Number of boys
Total weight of 10 boys
\text{Average Weight of boys} =\frac{550}{10}Average Weight of boys=
10
550
\text{Average Weight of boys} =55Average Weight of boys=55
Now we are given that The average weight of 10 boys is more than the average weight of 15 girls by 5 kg.
So, The average weight of 15 girls is 55-5=50 kg
\text{Average Weight of Girls} =\frac{\text{Total weight of 15 Girls}}{\text{Number of Girls}}Average Weight of Girls=
Number of Girls
Total weight of 15 Girls
50 =\frac{\text{Total weight of 15 Girls}}{15}50=
15
Total weight of 15 Girls
\begin{gathered}50 \times 15 =\\text{Total weight of 15 Girls}\end{gathered}
50×15 =
textTotalweightof15Girls
\begin{gathered}750 =\\text{Total weight of 15 Girls}\end{gathered}
750 =
textTotalweightof15Girls
So, Total weight of 15 girls = 750
Now the average of the 10 boys and 15 girls together
\text{Average of the 10 boys and 15 girls together} =\frac{550+750}{15+10}Average of the 10 boys and 15 girls together=
15+10
550+750
\text{Average of the 10 boys and 15 girls together} =52Average of the 10 boys and 15 girls together=52
So, Option 1 is true .
Hence the average of the 10 boys and 15 girls together is 52 kg