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22 April, 15:18

Mrs Lim packs 35 big and small bags of candies for her pupils. Each big bag contains 12 candies and each small bag contains 7 candies. The bags contain 300 candies altogether. How many big bags of candies and how many small bags of candies does she pack?

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  1. 22 April, 18:07
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    there are 11 big-bags and 24 small-bags.

    Step-by-step explanation:

    there are x big-bags and y small-bags.

    so now we can know:

    (1) x + y = 35

    (2) 12x + 7y = 300

    in (1), we can do like this:

    both left and right x7

    then (x + y) x7 = 35 x 7

    then 7x + 7y = 35 x 7

    then 7x + 7y = 245

    now,

    (1) 7x + 7y = 245

    (2) 12x + 7y = 300

    we can both left and right do this: (2) - (1)

    then

    (12x + 7y) - (7x + 7y) = 300 - 245

    then

    12x + 7y - 7x - 7y = 300 - 245

    then

    12x - 7x + 7y - 7y = 300 - 245

    then

    5x = 55

    then

    5x : 5 = 55 : 5

    then

    x = 11

    because

    x + y = 35; x=11

    so

    11 + y = 35

    11 + y - 11 = 35 - 11

    then

    y = 24

    now we know:there are 11 big-bags and 24 small-bags.
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