OneOfAKindSunflower
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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? Please answer I need this answer ASAP will mark brainliest IF the answer has full explanation and correct answer!

Respuesta :

park 2: 12 more benches

take two away

park two: 10 more benches and has 2 times more benches than park one

half of 10 is 5

5 minus the 2 benches is 3, which was what to start with

if park two had 12 more benches then the 3 that the park one had then 3 + 12 is 15

CORRECT ANSWER: 15

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

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