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Word Problem – Divide 38 oranges











































Word Problem

   • You have 38 oranges.

           You divide them equally among some bags.

       What is the greatest number of bags you can use and still get at least 10 oranges in each bag?

Comments for Word Problem – Divide 38 oranges

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Oct 26, 2012
Divide 38 oranges
by: Staff



Answer

Part I



B = number of bags

38 oranges divided by the number of bags must be greater than or equal to 10 oranges per bag.

The can be represented by an inequality.

38/B ≥ 10


Solve for B


Multiply each side of the inequality by “B”


(38/B) * B ≥ 10 * B


38 * (B/B) * ≥ 10 * B


38 * (1) * ≥ 10 * B


38 ≥ 10 * B


38 ≥ 10B


Divide each side of the inequality by “10”


38 / 10 ≥ 10B / 10


38 / 10 ≥ B * (10 / 10)


3.8 ≥ B * (10 / 10)


3.8 ≥ B * (1)


3.8 ≥ B


B ≤ 3.8

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Oct 26, 2012
Divide 38 oranges
by: Staff

--------------------------

Part II

B, the number of bags, must less than or equal to 3.8 bags.

This means that B must be equal to 1 bag, 2 bags, or 3 bags.


Divide 38 oranges by 1 bag, 2 bags, and 3 bags


38 oranges ÷ 1 bag = 38 oranges per bag


38 oranges ÷ 2 bags = 19 oranges per bag


38 oranges ÷ 3 bags = 12.6667 oranges per bag


Using three bags is not practical because the oranges must be cut in pieces..


Final Answer:

2 bags. Each bag contains 19 oranges




Thanks for writing.

Staff
www.solving-math-problems.com



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