Red and gray bricks were used to build a decorative wall. The number of red bricksnumber of gray bricks was 52 . There were 175 bricks used in all. How many red bricks were used?(1 point)
Responses
125
125
35
35
50
50
25
To solve this problem, let's assign variables to represent the number of red and gray bricks used.
Let R represent the number of red bricks used
Let G represent the number of gray bricks used
We are given two pieces of information in the problem:
1. The number of red bricks plus the number of gray bricks is 52: R + G = 52
2. The total number of bricks used is 175: R + G = 175
To solve this system of equations, we can use substitution or elimination. Let's use substitution.
From equation 1, we can express G in terms of R: G = 52 - R
Substituting this expression for G into equation 2, we get:
R + (52 - R) = 175
Simplifying the equation: 52 = 175
This equation does not make sense, so we made an error. Let's try using elimination.
From equation 1, we have R + G = 52.
From equation 2, we have R + G = 175.
Subtracting equation 1 from equation 2, we get:
(R + G) - (R + G) = 175 - 52
0 = 123
This equation is also incorrect. It seems that there is an error in the problem's given information, as the system of equations does not have a valid solution.