Question

In 2018, there were 15,370 Dollar General Stores in the United States. This was an 87% increase over the number of Dollar General Stores in the United States in 2007. Find the number of Dollar General Stores in the United States in 2007 by writing and solving a linear equation. Round your answer to the nearest whole number.

Answer 1

To determine the number of Dollar General Stores in 2007, we calculated the original number before an 87% increase led to 15,370 stores in 2018. Using the equation 1.87x = 15,370 and solving for x, we find there were approximately 8,219 stores in 2007.

Step-by-step explanation:

We are asked to find the number of Dollar General Stores in the United States in 2007 given that there was an 87% increase to 15,370 stores in 2018. To solve this, we'll let the number of stores in 2007 be x. The 87% increase is mathematically represented by the equation x + 0.87x = 15,370, which simplifies to 1.87x = 15,370. Dividing both sides by 1.87, we find x.

Therefore, the calculation will be x = 15,370 / 1.87, which gives us the number of stores in 2007. After performing the division and rounding to the nearest whole number, the answer is x ≈ 8,219 stores.

Answer 2

The linear equation is:

`15370-x=0.87x`

There were 8219 Dollar General Stores in 2007.

Step-by-step explanation:

Let the number of General Stores in 2007 be 'n'.

Given:

Number of Dollar General Stores in 2018 = 15,370

Stores in 2018 was an increase of 87% when compared with the number in 2007.

So, number of general stores in 2018 - number of general stores in 2007 + 87% of number of stores in 2007.

`15370-x=87\%\ of\ x\\15370-x=0.87x\\x+0.87x=15370\\1.87x=15370\\x=(15370)/(1.87)\approx8219`

So, there were 8219 Dollar General Stores in 2007.