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
Answer:
Answer of question 1 :
Explanation:
Let x be the legs of ducks
And y be the legs of cows
According to the question,
2x + 4y = 52...…..(i) ( as ducks ahs two legs and as cows has 4 legs)
As he has 21 animals in total so,
x + y = 21...…..(ii)
We have make the equation. We will solve them by eliminatory method or substitution method. Here, I'll go for substitution method.
From equation (ii)
x = 21 - y....…..(iii)
Putting the value of x in equation (i),
2x + 4y = 52
2( 21 - y ) + 4y = 52
42 - 2y + 4y = 52
2y = 52 - 42
y = 10/2
y = 5 ( He has 2 cows)
putting the value of y in equation (ii)
x + y = 21
x + 5 = 21
x = 21 -5
x = 16 ( He has 16 ducks)
B.They do not want to limit the right of individuals.
