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How to solve this story problem (please explain reasoning)?

Five 6th grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.

1. The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.

2.The smallest total was 308 cans.

3. The range of the total cans collected was 262.

4. The median number of cans collected was 421.

5. The total of the two classes in the three hundreds was 706.

6. The total number of cans collected from all the classes was 2,130.

1 Answer

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  • 1 decade ago
    Favorite Answer

    a. The smallest total was 308 (2).

    b. The total of the two classes in the 300's was 706 (5), so 706 - 308 = 398.

    c. The median number of cans collected was 421 (4).

    d. The range of the total cans was 262 (2), so 5__ - 308 = 262, 308 + 262 = 570

    e. The total number of cans collected from all classes was 2,130, so 308 + 398 + 421 + 570 + 4__ = 2,130, 2,130 - 1697 = 433

    3__ = 308 (a.)

    3__ = 398 (b.)

    4__ = 421 (c.)

    4__ = 433 (e.)

    5__ = 570 (d.)

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