Question

Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2 times more benches than Park one. How many benches were originally there in Park two? pls help asap.

Answer 1

Answer:

18 benches.

Step-by-step explanation:

Let x be number of benches in park 1 and y be number of benches in park 2.

We have been given that park 2 has 12 more benches than Park one. We can represent this information in an equation as: $y=x+12...(1)$

If we transfer 2 benches to park 1 from park 2, then park 1 will have x+2 benches and park 2 will have y-2 benches.  

We have been given that y-2 is twice the x+2. Let us represent this information in an equation.    

$2(x+2)=y-2...(2)$

Now we will solve our system of equations using substitution method. Substituting y's value from equation 1 into equation 2 we will get,

$2(x+2)=x+12-2$

$2x+4=x+10$

$2x-x=10-4$

$x=6$  

Therefore, the original number of benches in Park one is 6.  

Now let us substitute x=6 in equation 1 to find the number of benches in Park 2.

$y=6+12$

$y=18$

Therefore, the original number of benches in Park 2 is 18.