7/35 + 5/35 = 12/35
35/35 - 12/35 = 23/35
(23/35)x = 1127
Solve for x
35/35 - 12/35 = 23/35
(23/35)x = 1127
Solve for x
Step 1: Calculate the total amount Ryan spent on rent and utility bills.
If Ryan spent 1/5 of his monthly salary on rent and 1/7 of his monthly salary on utility bills, we need to find the total fraction of his monthly salary that he spent.
Rent: 1/5
Utility bill: 1/7
The total amount spent is (1/5) + (1/7). To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 5 and 7 is 35.
Step 2: Find a common denominator and add the fractions.
(1/5) + (1/7) =
(7/35) + (5/35) =
(7 + 5)/35 =
12/35
So, Ryan spent 12/35 of his monthly salary on rent and utility bills.
Step 3: Calculate the amount Ryan has left after spending on rent and utility bills.
If Ryan has $1127 left after spending 12/35 of his monthly salary, we can set up the following equation:
(12/35) * Salary = $1127
Step 4: Solve for Ryan's monthly salary.
To find Ryan's monthly salary, we need to isolate "Salary" in the equation:
(12/35) * Salary = $1127
Multiply both sides of the equation by (35/12) to cancel out the fraction:
Salary = ($1127) * (35/12)
Step 5: Calculate Ryan's monthly salary using the equation:
Salary = ($1127) * (35/12) ≈ $3289.7917
Therefore, Ryan's monthly salary is approximately $3289.79.
Let's start by determining how much Ryan spent on his rent and utility bill.
Ryan spent 1/5 of his monthly salary on rent and 1/7 of his monthly salary on his utility bill. We can combine these two expenses into a single fraction by finding a common denominator.
The common denominator of 5 and 7 is 35, so we can rewrite 1/5 and 1/7 with the common denominator:
1/5 = 7/35
1/7 = 5/35
Now, we can add these two fractions to find the total amount Ryan spent:
7/35 + 5/35 = 12/35
So, Ryan spent 12/35 of his monthly salary on rent and utility bills.
Next, we can figure out how much money Ryan has left:
Ryan has $1127 left after spending 12/35 of his monthly salary.
Let's make an equation to represent this:
x - (12/35)x = 1127
Where x represents Ryan's monthly salary.
Now, let's solve this equation:
Multiply both sides of the equation by 35 to get rid of the fraction:
35x - 12x = 1127 * 35
23x = 39445
Divide both sides of the equation by 23:
x = 39445 / 23
Using a calculator, we find that x ≈ 1715.43.
Therefore, Ryan's monthly salary was approximately $1715.43.