john told raquel that if he spent up to $30 from his saving account, his savings account would have 3/4 as much in it as it has now. From John's statement, raquel can deduce that the least amount of money that john could have in his savings account now is what?
$X in account.
x-30 = 3x/4
4x-120 = 3x
X = $120
The least amount of money he could have is 120 dollars
Let's set up an equation to solve this problem step-by-step.
Let's assume John currently has x dollars in his savings account.
According to John's statement, if he spends up to $30 from his savings account, his savings account will have 3/4 as much in it as it has now.
Mathematically, this can be expressed as:
x - 30 = (3/4) * x
To find the least amount of money John could have in his savings account now, we need to solve this equation for x.
Simplifying the equation, we have:
4 * (x - 30) = 3 * x
Expanding, we get:
4x - 120 = 3x
Combining like terms, we have:
x - 120 = 0
Adding 120 to both sides, we get:
x = 120
Therefore, the least amount of money that John could have in his savings account now is $120.
To find the least amount of money John could have in his savings account currently, let's work through the problem step by step.
Let's assume the current amount of money in John's savings account is "x" dollars.
According to John's statement, if he spends up to $30 from his savings account, it will have 3/4 as much as it currently has. So, we can write this as an equation:
x - 30 = (3/4) * x
Now, let's solve this equation to find the value of x.
To eliminate the fraction, we can multiply both sides of the equation by 4:
4 * (x - 30) = 3 * x
4x - 120 = 3x
Next, let's isolate the variable by subtracting 3x from both sides:
4x - 3x - 120 = 0
x - 120 = 0
x = 120
Therefore, the least amount of money John could have in his savings account currently is $120.
So, Raquel can deduce that John's savings account has at least $120 in it now.