Mr teo has some oranges and a few bags. he uses all the bags to pack the oranges. if he packs 5 oranges in each bag, he will be short of 4 oranges. if he packs 4 oranges in each bag, he will have 3 oranges left. what is the least number of oranges he has?

31 oranges

Step-by-step explanation:

Let n be the number of oranges and m be the number of bags Mr. Teo has.

If he packs 5 oranges in each bag, then he packs 5m oranges in m bags and since he is short of 4 oranges,

If he packs 4 oranges in each bag, then he packs 4m oranges in m bags and since he has 3 oranges left,

Equate right sides of these two equations:

Hence,

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step-by-step explanation:

just copy and paste it.

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11