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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?

Verified Answer :

JcAlmighty

The answer is $36.

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

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