. Ivan is part of a team making bags of free items to give away at a college open evening.
He has: •

140 discount vouchers, 56 pencils,
280 sweets

to share between all his bags.
He uses all the vouchers, all the pencils and all the sweets. He makes as many bags as possible.
The contents of each bag are the same.
How many bags does Ivan make and what does each bag contain?​



Answer :

1. The maximum number of bags of free items that Ivan can give away, using the lowest common divisor, is 28 bags.

2. The distribution of the free items in each bag is as follows:

                            Vouchers        Pencils      Sweets

Number of items       5                    2                10

How is the number determined?

The number of bags that Ivan can make using the free items can be computed using the lowest common multiple or lowest common divisor.

The lowest common multiple among  140, 56, and 280 is 28.

28 can divide the three values without a remainder.

Data and Calculations:

The number of discount vouchers = 140

The number of pencils = 56

The number of sweets = 280

                            Vouchers        Pencils      Sweets

Number of items

(Dividend)                140                  56            280

Divisor                      28                   28              28

Quotient                    5                      2               10

Thus, Ivan can make 28 bags containing 5 vouchers, 2 pencils, and 10 sweets.

Learn ing about the lowest common divisor at https://brainly.com/question/16054958

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