The capacity of a large milk carton is 1 1/2 liters. A dozen large cartons are poured into a container and then poured into small cartons th

Question

The capacity of a large milk carton is 1 1/2 liters. A dozen large cartons are poured into a container and then poured into small cartons that each hold 3/10 liter. How many small cartons of milk can be filled ?

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    2021-10-14T21:35:42+00:00

    The capacity of a large milk carton = 1 1/2 liters.

    Total number of pounds of a dozen large cartons = 12 × 1 1/2 liters.

    \mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{1}{2}=\frac{3}{2}

    =12\times \frac{3}{2}

    =18

    A small carton capacity =  3/10 liter.

    Total number of small cartons of milk can be filled  = Total number of pounds of a dozen large cartons ÷  a small carton capacity.

    = 18 ÷   3/10.

    =\frac{8}{1}\div \frac{3}{10}

    =\frac{8}{1}\times \frac{10}{3}

    =\frac{80}{3}

    =26\frac{2}{3} \ cartons

    = 27 cartoons.

    Therefore, 27 small cartons of milk can be filled.

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