Henry has twice as much savings as Benson. Johnson has $33 less than Benson. They have a total savings of $1927. How much savings does Johnson have?
h = 2b
j = b-33
h+b+j = 1927
solving for j, we get
2(j+33) + j+33 + j = 1927
j = 457
check: Ben has 490, Henry has 980
980+490+457 = 1927
Let's solve the problem step by step.
Let's assume Benson's savings as x.
Henry has twice as much savings as Benson, so Henry's savings = 2x.
Johnson has $33 less than Benson, so Johnson's savings = x - $33.
The total savings of all three is $1927, so we can write the equation:
x + 2x + (x - $33) = $1927
Combining like terms:
4x - $33 = $1927
Adding $33 to both sides to isolate the term with x:
4x - $33 + $33 = $1927 + $33
4x = $1960
Dividing both sides by 4 to solve for x:
4x/4 = $1960/4
x = $490
So, Benson's savings is $490.
Now, let's find Johnson's savings.
Johnson's savings = x - $33
= $490 - $33
= $457
Therefore, Johnson has $457 in savings.
To find out the amount of savings Johnson has, let's start by assigning variables to each person's savings. Let's say:
Benson's savings = x
Henry's savings = 2x (twice as much as Benson)
Johnson's savings = x - $33 (Benson's savings minus $33)
The total savings of all three individuals is given as $1927. So, we can write the equation:
x + 2x + (x - $33) = $1927
Now, let's solve the equation to determine the value of x, which represents Benson's savings:
4x - $33 = $1927
4x = $1927 + $33
4x = $1960
x = $1960 / 4
x = $490
Now that we know Benson's savings equals $490, we can substitute this value back into the equation to find Johnson's savings:
Johnson's savings = Benson's savings - $33
Johnson's savings = $490 - $33
Johnson's savings = $457
Therefore, Johnson has $457 in savings.