Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 225 hours. How long will it take Maria to do the job alone?
2 2 = 12 Together time, 2 2 , needs to be converted to fraction 555
Adan:3,Maria:x,Total: 5 Clearlystatetimesforeachandtotal,usingxforMaria 12
1+1= 5 Usingreciprocals,addtheindividualtimesgivestotal 3 x 12
1
1(12x) + 1(12x) = 5(12x) 3 x 12
4x+12=5x −4x −4x 12=x It takes Maria 12 hours
Multiply each term by LCD of 12x
Reduce each fraction
Move variables to one side, subtracting 4x Our solution for x
Answer is - 12 hours
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Explanation:
Adding odd numbers will only give you an even sum if the amount of numbers you added is an even number.
For example,
25 is an odd number. If you add 25, 2 times (2 is an even number) you will get 50 (an even number). If you add 25, 4 times (4 is an even number) you will get 100 (still, an even number)
However, if you add 25, 3 times (an odd number) you will get 75 (an odd number). If you add 25, 5 times (an odd number) you will get 125 (still an odd number).
Hopefully, that helped (: Sorry if I confused you lol