Asked by scoob
at a baseball game, there were three times as many males as females. 5/6 of the males were boys and the rest were men. 2/3 of the females were girls and the rest were women. Given that there were 121 more boys than girls, how many adults were there at the baseball game?
Answers
Answered by
Steve
There are M males, F females, b boys, g girls
M = 3F
5/6 M = b
2/3 F = g
b = g + 121
make some substitutions to get
5/6 M = g+121
5/6 (3F) = g+121
5/6 (3F) = 2/3 F + 121
5/2 F = 2/3 F + 121
11/6 F = 121
11F = 726
F = 66
So, working back through the substitutions,
M = 3F = 198
M+F = 264 <-- no. of people
check:
5/6 of 198 = 165 boys, so 33 men
2/3 of 66 = 44 girls, so 22 women
165=44+121 so the boy/girl difference works too.
men+women = 33+22 = 55 adults
M = 3F
5/6 M = b
2/3 F = g
b = g + 121
make some substitutions to get
5/6 M = g+121
5/6 (3F) = g+121
5/6 (3F) = 2/3 F + 121
5/2 F = 2/3 F + 121
11/6 F = 121
11F = 726
F = 66
So, working back through the substitutions,
M = 3F = 198
M+F = 264 <-- no. of people
check:
5/6 of 198 = 165 boys, so 33 men
2/3 of 66 = 44 girls, so 22 women
165=44+121 so the boy/girl difference works too.
men+women = 33+22 = 55 adults
Answered by
emely juarez
at a baseball game, there were three times as many males than females.5/6 of the males were boys and the rest were men. 2/3 of the females were girls and the rest were women. given that there were 121 more boys than girls, howmany adults were there?
Answered by
Ryan
55 adults
Answered by
Cryptic
Use simple working please
Answered by
Hanna
This is hard for a kid to understand.
Answered by
daniel
can someone explain this more easily
Answered by
cool
55 adults, very complicated tho
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