SOLUTION: Tom spent 1/6 of his money and another $5 on a book. Then, he spent 2/5 of the remaining money and another $12 on some food. He had $24 left. How much money did he have at first

Question 1185259: Tom spent 1/6 of his money and another $5 on a book. Then, he spent 2/5 of
the remaining money and another $12 on some food. He had $24 left. How
much money did he have at first?
Please help me teachers! I need big help on this.
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
M, what money he started with

(1)
Has remaining

and then
(2)
Has remaining

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

he have at first $
Tom spent of his money and another $ on a book.

the remaining money is

Then, he spent of the remaining money and another $ on some food.

He had $.

How much money did he have at first?
check:

$ on a book
total spent:
remaining money:
he spent of the remaining money which is $
another $ on some food
total spent:
deduct from
which confirms he had $left

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Tom spent 1/6 of his money and another $5 on a book. Then, he spent 2/5 of
the remaining money and another $12 on some food. He had $24 left. How
much money did he have at first?
Please help me teachers! I need big help on this.

Let multiplicative factor be x
Spending means that there are 6 parts, so when 1 part (x) is spent, or 5 parts, or 5x remains
As an additional $5 was spent, remainder is 5x - 5
Spending of remainder and another $12 means that remains
Now, as $24 remains in the end, we get:
With original number of parts being 6, original amount =

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