Middle School

A farmer grows 196 kg of carrots. He sells them to a grocer who divides them into 5 kg and 2 kg bags. If the grocer uses the same number of 2 kg and 5 kg bags, how many of each does he use?

Explain your thinking.

Answer :

Answer:

28 bags of each weight

Step-by-step explanation:

Let x be the number of 2 kg bags and 5 kg bags.

Amount of carrots in x 2-kg bags = 2x kg

Amount of carrots in x 5-kg bags = 5x kg

Total amount in all bags = 2x + 5x = 7x kg

A farmer sells 196 kg of carrots, so

[tex]7x=196[/tex]

Divide by 7:

[tex]x=\dfrac{196}{7}\\ \\x=28[/tex]

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