Question

Ray and Sam each brought some money for shopping. The ratio of the amount of Ray’s money to the amount of Sam’s money was 3 : 4. After each of them bought a laptop for $1250, the ratio of the amount of Ray’s money to the amount of Sam’s money became 1 : 3. How much money did Sam bring for shopping?

Answer 1

Let the initial amount of money Ray brought for shopping be 3x.
The initial amount of money Sam brought for shopping is 4x.
After buying a laptop, Ray is left with 3x - 1250
After buying a laptop, Sam is left with 4x - 1250
The ratio of the amount of Ray’s money to the amount of Sam’s money became 1 : 3 is 1/3
3x - 1250 = 1/3(4x - 1250)
3(4x - 1250) = (4x - 1250)
12x - 3750 = 4x - 1250
12x - 4x = 3750 - 1250
8x = 2500
x = 2500/8
x = <<2500/8=312.5>>312.5
Sam brought for shopping 312.5 * 4 = <<312.5*4=1250>>1250. Answer: \boxed{1250}.

Answer 2

Let the initial amount of money Ray brought for shopping be 3x.
The initial amount of money Sam brought for shopping is 4x.
After buying a laptop, Ray is left with 3x - 1250
After buying a laptop, Sam is left with 4x - 1250
The ratio of the amount of Ray’s money to the amount of Sam’s money became 1 : 3 is 1/3
3x - 1250 = 1/3(4x - 1250)
x = 500
Sam brought for shopping 500 * 4 = <<500*4=2000>>2000. Answer: \boxed{2000}.

Answer 3

Sorry about that. Let's recheck the solution.

After buying a laptop, Ray is left with 3x - 1250
After buying a laptop, Sam is left with 4x - 1250

The ratio of the amount of Ray’s money to the amount of Sam’s money became 1:3 is 1/3

So, (3x - 1250)/(4x - 1250) = 1/3

Cross multiplying, we have 3(3x - 1250) = 1(4x - 1250)

Simplifying, we get 9x - 3750 = 4x - 1250

Bringing like terms to one side, we have 9x - 4x = 3750 - 1250

5x = 2500

Dividing both sides by 5, we get x = 500

Therefore, Sam brought for shopping 4x = 4(500) = 2000

So, Sam brought 2000 for shopping.