Red and gray bricks were used to build a decorative wall. The start fraction number of red bricks over number of gray bricks end fraction was start fraction 5 over 2 end fraction. There were 175 bricks used in all. How many red bricks were used?

(1 point)
Responses

25
25

125
125

50
50

35

1 answer

Let's say the number of red bricks used is represented by x and the number of gray bricks used is represented by y.

According to the given information, the ratio of red bricks to gray bricks is 5/2, or x/y = 5/2.

We also know that the total number of bricks used is 175, so x + y = 175.

We can solve these two equations simultaneously to find the value of x.

From the ratio equation, we can solve for x:
x/y = 5/2
2x = 5y
y = (2/5)x

Substituting this value of y into the second equation:
x + (2/5)x = 175
(7/5)x = 175
x = (5/7) * 175
x = 125

So, the number of red bricks used is 125. Answer: 125.