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40 votes
40 votes
There are some elephants and ants in a room. The number of elephants is 7 times and 5 less as that of ants. The total number of legs of ants is 574 less than that of elephants. How many elephant(s) is / are there? (An ant has six legs).​

User FredrikHedman
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1 Answer

15 votes
15 votes

112 elephants

21 ants

Explanation:

E= number of elephants

a=number of ants

the second sentence creates the relatiknship

E=7(a-5)

e=7a-35

the number of legs also allows for the equation

4 (elephants legs)×E + 6 (ant legs) × a=574

the first equation can become

(e-7a=-35) ×4

4e-28a=-140

minus second equation of the first eliminating

4e+6a=574

-34a=-714

a=21

input in first equation

(21-5)×7=e

e=112

I couldnt really unserstand the second sentence and it is unrealistic

User Kaylah
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2.9k points