Final answer:
To find the monthly salary of Tom, subtract the amounts he spent on rent and credit card bills from the amount he has left. Using the given fractions, set up an equation and solve for x to find Tom's monthly salary. His monthly salary is $1516.
Step-by-step explanation:
To find the monthly salary of Tom, we need to subtract the amounts he spent on rent and credit card bills from the amount he has left. Let's represent his monthly salary as x.
Given that Tom spent 1/4 of his salary on rent and 1/7 on his credit card bill, we can write the following equations:
Rent = (1/4) * x
Credit Card Bill = (1/7) * x
Tom has $918 left, so we can write the equation:
x - Rent - Credit Card Bill = $918
Now we can substitute the values of Rent and Credit Card Bill into the equation:
x - (1/4) * x - (1/7) * x = $918
We can simplify this equation to:
(28/28)x - (7/28)x - (4/28)x = $918
(17/28)x = $918
To solve for x, divide both sides of the equation by (17/28):
x = ($918 * 28) / 17 = $1516
Therefore, Tom's monthly salary is $1516.