Question

There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5. There

are 12 more blue tiles than red tiles in the box. How many red tiles are in the box?

Answer 1

Explanation:

18

Answer 2

To solve this problem, we can set up a system of equations to represent the given information. Let R be the number of red tiles and B be the number of blue tiles. We are trying to find the value of R, the number of red tiles.
The first piece of information we are given is that the ratio of red to blue tiles is 3:5. This can be written as:
R/B = 3/5
The second piece of information we are given is that there are 12 more blue tiles than red tiles in the box.
This can be written as:
B=R+12
We can solve this system of equations by substituting the second equation into the first equation and solving for R.
Substituting B = R + 12 into the first equation, we get:
R/R + 12 = 3/5
We can then simplify this equation to get:
R = 15
Thus, there are 15 red tiles in the box.