Luis and Berto sell TVs. Last month Berto sold 15 more TVs than Luis. Together they sold 163. How many TVs did Luis sell?
L + L + 15 = 163
2L = 148
L = 74
Let's assume the number of TVs Luis sold as 'x'.
According to the information given, Berto sold 15 more TVs than Luis. Therefore, the number of TVs Berto sold can be expressed as (x + 15).
Together they sold 163 TVs. So, we can write the equation:
x + (x + 15) = 163
Now, let's solve this equation step-by-step:
2x + 15 = 163 (Combine like terms)
2x = 163 - 15 (Subtract 15 from both sides of the equation)
2x = 148 (Simplify the right side)
Now, divide both sides of the equation by 2 to isolate 'x':
2x/2 = 148/2
x = 74
Therefore, Luis sold 74 TVs.
To solve this problem, we can set up a system of equations based on the given information. Let's use "L" to represent the number of TVs Luis sold and "B" to represent the number of TVs Berto sold.
Given:
- Berto sold 15 more TVs than Luis: B = L + 15
- Together they sold 163 TVs: B + L = 163
We can substitute the value of B from the first equation into the second equation:
(L + 15) + L = 163
Combining like terms:
2L + 15 = 163
Next, we need to isolate the variable by subtracting 15 from both sides of the equation:
2L = 163 - 15
2L = 148
Finally, divide both sides of the equation by 2 to solve for L:
L = 148 / 2
L = 74
Therefore, Luis sold 74 TVs.