Question

James had $240 more than his brother, Sam, at first. After their mother
gave James $30 and Sam $50, James had twice as much money as Sam.
How much money did Sam have at first?

Answer 1

SOLUTION

GIVEN

• James had $ 240 more than his brother, Sam, at first.

• After their mother gave James $ 30 and Sam $ 50, James had twice as much money as Sam.

TO DETERMINE

The amount of money Sam have at first

EVALUATION

Let the amount of money Sam have at first = $ x

So the amount of money for James at first

= $ ( x + 240 )

Now it is given that their mother gave James $ 30 and Sam $ 50, James had twice as much money as Sam

Therefore the amount of money for Sam

= $ ( x + 50 )

Also the amount of money for James

= $ ( x + 240 + 30 )

= $ ( x + 270 )

So by the given condition

$\sf{2(x + 50) = x + 270}$

$\sf{ \implies \: 2x + 100 = x + 270}$

$\sf{ \implies \: 2x - x = 270 - 100}$

$\sf{ \implies \: x = 170}$

Hence the amount of money Sam have at first = $ 170

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