Answer:
$705.88
Step-by-step explanation:
Let d represent Darren's monthly income from Social Security. Then 0.7d is the amount his wife receives. Their total monthly income is ...
600 + d + 0.7d = 1800
1.7d = 1200 . . . . . . . . . . . subtract 600, collect terms
d = 1200/1.7 = 705.88
Darren's monthly Social Security benefit is $705.88.
Answer:
Darren's monthly Social Security benefit is $705.90
Step-by-step explanation:
Given: Darren Williams receives a monthly income of $600 from a pension and some from Social Security.
His wife,Laura receives a montly income which is 70% of Darren's Social Security amount.
Their total monthly income = $1800.
Let x be Darren's monthly income from Social Security.
Laura's montly income = 70% of x.
= 0.7d
So, total monthly income is $600 + x + 0.7x = 1800
Simplify the like terms, we get
1.7x + 600 = 1800
Subtract 600 from both sides, we get
1.7x + 600 - 600 = 1800 - 600
1.7x = 1200
Dividing both sides by 1.7, we get
x = 1200 ÷ 1.7
x = $705.90
Therefore, Darren's monthly Social Security benefit is $705.90
