Moe earns 15% more than her husband Joe. Together they make 78000 per year. What is Joe’s annual salary?
Answer to two significant figures.
My answer was $31000, but the program doesn't seem to want to take it. Did I do something wrong?
if Joe makes J dollars, then Moe earns 1.15J
J + 1.15J = 78000
J = 36279
So, Joe makes $36279
Moe makes $41721
add 'em up to get 78000
Oh I found my mistake thanks. :)
To solve this problem, let's start by setting up an equation using the given information.
Let Joe's annual salary be x. According to the problem, Moe earns 15% more than Joe. This means Moe's annual salary is x + 0.15x = 1.15x.
Together, their annual salary is $78,000, so we can write the equation:
x + 1.15x = 78000
Combining like terms:
2.15x = 78000
Now, let's solve for x by dividing both sides of the equation by 2.15:
x = 78000 / 2.15
Calculating this value gives us:
x ≈ 36279.07
Joe's annual salary is approximately $36,279.07. Therefore, your answer of $31,000 is incorrect.
Please double-check your calculations to ensure accuracy.
To find Joe's annual salary, let's follow these steps:
Step 1: Let's assume Joe's salary as 'x' dollars per year.
Step 2: According to the given information, Moe earns 15% more than Joe. So, Moe's salary is (x + 15% of x).
Step 3: Together, their salary is 78000 dollars. So, we can write the equation:
x + (x + 15% of x) = 78000
Step 4: Simplify the equation:
x + x + 0.15x = 78000
2.15x = 78000
Step 5: Solve for x:
x = 78000 / 2.15
x ≈ 36279.07
Therefore, Joe's annual salary, rounded to two significant figures, is approximately $36000, not $31000.
It seems you made a small error in calculating Joe's annual salary. Please double-check your calculations.