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?

Question

Cryptic · Accepted Answer

Use simple working please

Steve · Answer

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

emely juarez · Answer

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?

Ryan · Answer

55 adults

Hanna · Answer

This is hard for a kid to understand.

daniel · Answer

can someone explain this more easily

cool · Answer

55 adults, very complicated tho