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Alex777 [14]
2 years ago
6

Jerry 1/5 of his allowance on a book and 3/8 of the remainder of his allowance for $12.00. Calculate: A.Jerry's allowance B.The

cost of the book C.The cost of the pen
Mathematics
2 answers:
skelet666 [1.2K]2 years ago
6 0
What grade are you just asking no offense
Goshia [24]2 years ago
6 0

Answer:

Allowance = $24

Cost of book = $4.8

Cost of pen = $7.2

Step-by-step explanation:

Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12

x = \frac{1}{5}x + (\frac{3}{8}  \times  \frac{4}{5})x  +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24

cost \ of \ book = \frac{1}{5}  \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2

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