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?
Answers
GPT 3.5
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}.
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}.
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}.
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}.
GPT 3.5
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.
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.
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