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

Answer:

170

Step-by-step explanation:

James=270+x. sam=x+50

270+x=2(x+50)

270+x=2x+100

x=170

Answer 2

Sam had $34 in the beginning before their mother gave them the extra money as calculated using a linear equation.

Given:

James has $240 more than Sam .

Their mother gave James $30 and Sam $50 .

To find :

The amount of money Sam had in the beginning.

Solution:

Let Sam has  x in the beginning.

James has $(x+240)$ .

Their mother gave Sam$50 and James $30 .

James has $x + 240+30 = x+270$

Sam has $x + 50$

Now James has twice as much as Sam. We can use this information to form a linear equation in x in the form :

$x +270 = 2(x+50)\\\\or, x - 2x = 100 - 270\\\\or, -x = -170\\\\or, x = 170$

Therefore Sam has $170 in the beginning.

To learn more about linear equations visit:

https://brainly.in/question/49003688

https://brainly.in/question/10460471

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