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

18 benches.

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.