Jerry spent 1/5 of his allowance on a book and 3/8 on a book. He remained with $12.00. Calculate Jerry allowance, the cost of the book and the cost of the pen
Sorry pen
How do I figure this problem out
It would help if you proofread your questions before you posted them.
Was the book/pen 3/8 of the remainder? If so:
Let x = allowance
B = 1/5x
P = 3/8(4/5x)
x - 1/5x - 3/8(4/5x) = 12
Solve for x, then B and P.
To solve this problem, we can set up an equation to represent the given information.
Let's assume Jerry's allowance is A dollars.
According to the problem, Jerry spent 1/5 of his allowance on a book and 3/8 on a pen, so we can represent these expenses as:
Cost of the book = (1/5) * A
Cost of the pen = (3/8) * A
The problem also states that Jerry has $12 left, so we can write the equation:
A - (Cost of the book + Cost of the pen) = $12
Now, let's substitute the expressions for the costs, and solve the equation:
A - [(1/5) * A + (3/8) * A] = $12
To simplify, we need a common denominator for 5 and 8, which is 40:
A - [(8/40) * A + (15/40) * A] = $12
Now, we can multiply both sides by 40 to get rid of the denominators:
40A - 8A - 15A = 12 * 40
17A = 480
Divide both sides by 17 to solve for A:
A = 480 / 17 ≈ $28.24
Therefore, Jerry's allowance is approximately $28.24.
To find the cost of the book, we can substitute the value of A back into the equation:
Cost of the book = (1/5) * A
Cost of the book = (1/5) * $28.24
Cost of the book ≈ $5.65
And to find the cost of the pen:
Cost of the pen = (3/8) * A
Cost of the pen = (3/8) * $28.24
Cost of the pen ≈ $10.59
So, the cost of the book is approximately $5.65, and the cost of the pen is approximately $10.59.