If Ryan has $1127 left after spending 1/5 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill, what was his monthly salary?
The answer is wrong
To find out Ryan's monthly salary, we need to use the given information. Let's break it down step by step:
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.
To find Ryan's monthly salary, we can use the information given in the question.
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.
7/35 + 5/35 = 12/35
35/35 - 12/35 = 23/35
(23/35)x = 1127
Solve for x