a) Lincoln saved $95 out of his pocket each month and saved the rest. He decided to spend just $75 this month and increased his savings by 40%.
What is the monthly amount of money in your pocket?
First, let's calculate what levels of saving ma'am:
Old savings = Money in pocket - $95
New savings = Money in pocket - $75
The new savings amount is 40% of the old savings amount:
New savings = Old savings + 0.4 * Old savings
By solving the equations expressing the new cost of savings,
Money in your pocket = $200
Answer: The monthly amount of money in Lincoln's pocket is $200.
b) What is the ratio of women's monthly expenditures to savings?
Mrs. monthly savings increased 40% of previous savings expenditures with meals. So, ma'am, the amount of savings increased by 1.4 percent.
Savings this month = 1.4 * (Money in pocket - $75)
Spend this month = $75
We should make ratios according to the amount of expenditure consumption savings:
Spending / Saving = 75 / (1.4 * (Money in your pocket - 75))
Settings to replace the money value in your pocket,
Spend / Save = 75 / (1.4 * (200 - 75)) = 75 / 140 = 0.536
Answer: The ratio of women's pension expenditures to savings is approximately 0.536.