Respuesta :
Answer:
$47,000
Step-by-step explanation:
Let u represent the unknown amount of budget
10/100× u = $5000
10u/100=$5000
Cross multiply both sides
10u= $500000
Divide both sides by the coefficient of u
10u/10=$500000/10
u= $50000
Therefore, this year's budget is $50000
Since Smith's budget this year is $3000 greater than last year's budget, to find last year's budget we simply subtract the difference from this year's budget.
$50000- $3000
= $47000
Thus, Smith's total budget for last year was $47000.
Answer: $47,000
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
Their total budget this year is $3,000 more than last year, so we have to add 3000 to their total budged of last year (x). x+3000
Since they spend 10% of their budget on entertainment, we have to multiply the previous expression by the percentage in decimal form (divided by 100).
(x +3000) 10/100 = (x+3000) 0.1
Finally, that expression must be equal to the amount that they will spend in entertainment this year (5000).
(x + 3000) 0.1 =5000
Solving for x:
x+3000 = 5000/0.1
x +3000= 50,000
x = 50,000-3,000
x = $47,000
Feel free to ask for more if needed or if you did not understand something.