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Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how many total minutes will it take her to pick 486 berries?
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To solve the problem, we can use proportions.
If Natalie picks 135 berries in 15 minutes, we can write:
135 berries / 15 minutes = x berries / y minutes
where x is the number of berries she picks in y minutes.
To find y, we can cross-multiply and simplify:
135 berries * y minutes = 15 minutes * x berries
y = 15x/135
y = x/9
So we have found an expression for the time it takes Natalie to pick any number of berries (x).
To find how many total minutes it will take her to pick 486 berries, we can substitute x = 486 and simplify:
y = 486/9
y = 54
Therefore, it will take Natalie 54 minutes to pick 486 berries if she continues picking at the same rate of 135 berries in 15 minutes.