Question

the budget has increased by 5 %. This increased budget is $ 47,250 . How much was the budget in the past, before the increase

Answer 1

To find the original budget before a 5% increase that resulted in a budget of $47,250, we divide the increased amount by 1.05. The original budget calculates to $45,000.

Step-by-step explanation:

To calculate the original budget before a 5% increase, we can set up an equation where the original budget (which we will call 'B') multiplied by 1.05 (since the budget was increased by 5%) equals $47,250. The equation would be B * 1.05 = $47,250. To find 'B', we divide both sides of the equation by 1.05, giving us B = $47,250 / 1.05.

By calculating this equation, we get B = $45,000. Therefore, the budget in the past, before the 5% increase, was $45,000.

Answer 2

The original budget before the 5% increase was $45,000, as calculated by dividing the increased budget amount of $47,250 by 1.05.

Step-by-step explanation:

To find the original budget before the increase, we need to work backward from the increased amount. If the budget has increased by 5% and the new budget amount is $47,250, we can set up the equation where original budget + (original budget x 0.05) = $47,250.

To solve for the original budget, we divide the increased budget by 1.05 (since 100% + 5% = 105%, or 1.05 in decimal form). This gives us the original budget amount before the 5% increase.

Therefore, we can calculate the original budget using the formula:

Original budget = Increased budget / 1.05

Original budget = $47,250 / 1.05

Original budget = $45,000

So, the budget before the increase was $45,000.