Answer :
Final answer:
The new ratio of Ralf's to Susie's money is found by subtracting $2 from Ralf's original money and adding $2 to Susie's, then simplifying that ratio. The original ratio is given as 1:2, implying Susie has twice as much money as Ralf initially. To find the new ratio, replace Susie's money with 2R and simplify the expression, taking into account the $2 change.
Explanation:
The question involves calculating a new ratio of Ralf's and Susie's money after Ralf gives $2 to Susie. To solve this problem, you must subtract $2 from Ralf's original amount of money and add $2 to Susie's original amount, then simplify the resulting ratio.
Let R enter the amount of money Ralf has and S represents Susie's original amount. Since the ratio of Ralf's to Susie's money is 1:2 (R:S = 1:2), we know that S = 2R. After Ralf gives $2 to Susie, we get the new amounts: Ralf now has (R - $2) and Susie has (S + $2).
To find the new ratio, we set up the equation:
- rac{R - $2}{S + $2}
Since S = 2R, we can substitute 2R for S:
- rac{R - $2}{2R + $2}
We then simplify the expression to find the simplest form of the new ratio. The exact simplified ratio cannot be determined without knowing Ralf's original amount, R.
