How must $59 be shared between Michael and Matthew so that Michael’s share is
$4 less than twice Matthew’s share?
A + B = 59 so B = (59-A)
A = 2 B - 4
A = 2 (59-A) -4
A = 118 - 2A - 4
3 A = 114
A = 38
B = 59 - A = 21
To find how $59 must be shared between Michael and Matthew, we need to set up an equation based on the given information.
Let's assume Matthew's share is represented by x dollars. According to the question, Michael's share is $4 less than twice Matthew's share. This can be written as (2x - 4) dollars.
The sum of their shares should be equal to the total amount to be shared, which is $59. Therefore, we can set up the equation:
x + (2x - 4) = 59
Now we solve the equation to find the value of x, which represents Matthew's share:
3x - 4 = 59
3x = 63
x = 21
Matthew's share is $21.
To find Michael's share, we substitute the value of x into the expression (2x - 4):
2(21) - 4 = $42 - $4 = $38
Therefore, Michael's share is $38.
In conclusion, $59 must be shared between Michael and Matthew so that Michael's share is $38 and Matthew's share is $21.