Question

Toko follows a budget to buy supplies to paint his room. He spends 1/2 of his budget on a roller, a tray, and tape. He spends $12.27 on paint, and of the remaining money, he spends 2/3 on a trim brush, which costs $3.82. How much money had he budgeted?

Answer 1

The answer is $36.

B - budget
So the calculation is as following:
$B= \frac{1}{2}B + 12.27 + \frac{3.82}{ \frac{2}{3} } = \frac{1}{2}B + 12.27 + \frac{3.82*3}{2}= \frac{1}{2}B + 12.27 +5.73$
$B= \frac{1}{2} B + 18$
$B- \frac{1}{2}B = 18$
$\frac{1}{2}B = 18$
$B = 18*2=36$