Question 646234: 2 mice eat 2 meals in 2 days, how many mice can eat 18 meals in 6 days? Found 3 solutions by stanbon, josmiceli, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 2 mice eat 2 meals in 2 days, how many mice can eat 18 meals in 6 days?
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# of mice is directly related to # of meals and indirectly related to# of days
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m = k*m/d
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Solve for "k" using "2 mice eat 2 meals in 2 days"
2 = k*2/2
k = 2
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Equation:
m = 2*m/d
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How many mice can eat 18 meals in 6 days?
m = 2*18/6
m = 6 (# of mice needed)
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Cheers,
Stan H.
You can put this solution on YOUR website! 2 mice eat 2 meals in 2 days
So, 1 mouse will take twice as long
to eat the same number of meals
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1 mouse eats 2 meals in 4 days
9 mice can eat 9 times as many meals
in the same amount of time, so
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9 mice eat 18 meals in 4 days
It will take 4 times as many mice to
eat he same number of meals in
1/4 of the time, so
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36 mice eat 18 meals in 1 day
It will only take 1/6 as many mice to
eat the same number of meals in
6 times as much time, so
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6 mice eat 18 meals in 6 days
Since 2 mice eat 2 meals in 2 days, those same 2 mice can eat 6 meals in
6 days. So to get 18 meals eaten in those same 6 days, it will take 3
times as many mice as those 2, or 6 mice.
You can also use the job-worker-time formula, which is:
where
W1 = the number of workers in the first situation.
T1 = the number of time units (days in this case) in the first situation.
J1 = the number of jobs in the first situation.
W2 = the number of workers in the second situation.
T2 = the number of time units (days in this case) in the second situation.
J2 = the number of jobs in the second situation.
The workers here are mice. The jobs are meals eaten.
W1 = 2 W2 = the unknown quantity
T1 = 2 T2 = 6
J1 = 2 J2 = 18
2 =
2 =
Multiply both sides by 6
6 = W2
Answer: 6 mice.
Edwin
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