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Phantasy [73]
3 years ago
6

you help a teacher move books. the math books weigh 3 pounds each. the science books weigh 4 pounds each. you can carry 24 pound

s in one load

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

  • see the attachment for a graph
  • yes, you can carry 5 math books in one load (along with 0–2 science books)

Step-by-step explanation:

If x and y represent the number of math and science books you're carrying, respectively, then 3x and 4y represent their weights in pounds.

The total weight of the carry will be 3x+4y, and you want that to be at most 24 pounds. The expression modeling this is ...

... 3x +4y ≤ 24

A graph of this inequality is shown in the attachment. (We have added the constraints that the number of books not be negative.)

___

5 math books will weigh 5·3 = 15 pounds, so will be within the limit you can carry.

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