Janice and Leonard together would like to save more than $3,500. They have saved $425 saved so far. Janice can save $120 more than twice what Leonard can save each month. How much money will they each need to save to reach their goal?

If you take the amount they need, $3,500 and subtract $425 which they already have, then subtract $120 that Janice will save more than Leonard, divide it, getting $1477.50 is what each needs to save. To check that take the $1477.50 X 2, plus 120 and 425 = $3.500

Sra

Let's start by assigning variables to the unknowns:

Let x be the amount of money Leonard can save each month.
So, twice what Leonard can save each month is 2x.
And, Janice can save $120 more than twice what Leonard can save each month, which is 2x + $120.

Since they have saved $425 so far, we can set up the following equation:

Leonard's savings + Janice's savings = Total savings
x + (2x + $120) = $3,500 + $425

Simplifying the equation:
3x + $120 = $3,925

Subtracting $120 from both sides:
3x = $3,805

Dividing both sides by 3:
x = $3,805 / 3
x ≈ $1,268.33

Therefore, Leonard can save approximately $1,268.33 each month.

To find Janice's savings, we substitute the value of x into the expression 2x + $120:
2($1,268.33) + $120 ≈ $2,536.67 + $120
≈ $2,656.67

Therefore, Janice can save approximately $2,656.67 each month.

To reach their goal, they need to save a total of $3,500.
Therefore, Leonard will need to save $1,268.33 and Janice will need to save $2,656.67.

To determine how much money Janice and Leonard each need to save to reach their goal, let's break down the information given step by step:

1. Let's start by finding out how much money they have left to save.
To do that, subtract the amount they have already saved ($425) from their desired savings goal ($3,500):
$3,500 - $425 = $3,075

2. Next, let's determine how much Leonard can save each month.
It is stated that Janice can save $120 more than twice what Leonard saves each month.
Let L represent Leonard's monthly savings.
Twice Leonard's savings would be 2L, and since Janice saves $120 more than that, her savings would be 2L + $120.

3. Now, we need to set up an equation to represent their combined savings per month.
Janice saves $2L + $120, and Leonard saves L per month.
Their combined monthly savings would be:
Janice's savings + Leonard's savings = $2L + $120 + L = $3L + $120

4. Finally, we can find out how many months it will take to reach their savings goal.
Divide the remaining amount they need to save ($3,075) by their combined monthly savings ($3L + $120):
$3,075 / ($3L + $120) = number of months needed to reach the goal

Therefore, to find out how much money Leonard and Janice each need to save per month to reach their goal, you would first need to calculate how many months it will take using the equation in step 4. Then, the individual amount each of them needs to save each month can be determined by dividing their combined monthly savings from step 3 by the number of months needed to reach the goal.