Louisa used red, blue and yellow beads to make some bracelets. She used twice as many red beads as blue beads and thrice as many yellow beads as red beads. She used 105 more yellow beads than blue

beads. How many beads did she use altogether?

245 beads

I need tutor help

And steps plz

Louisa used red, blue and yellow beads to make some bracelets. She used twice as many red beads as blue beads and thrice as many yellow beads as red beads. She used 105 more yellow beads than blue

beads. How many beads did she use altogether?
R = 2B
Y = 3R
B+105 = Y
3R = B + 105
3*2B = B + 105
6B-B = 105
5B = 105 so B = 21
Since B + 105 = Y then
21 + 105 = Y = 126
I'll leave R for you. Find the total beads used by adding R + B + Y.
Post your work if you get stuck. Check my work.

To solve this problem, we can start by assigning variables to the unknown quantities in the problem.

Let's say the number of blue beads Louisa used is represented by 'x'.

According to the problem, Louisa used twice as many red beads as blue beads. So, the number of red beads can be represented as '2x'.

Similarly, she used three times as many yellow beads as red beads. Therefore, the number of yellow beads can be represented as '3(2x)' or '6x'.

The problem also states that she used 105 more yellow beads than blue beads. So we can set up an equation:

6x = x + 105

Now we can solve this equation to find the value of 'x':

6x - x = 105
5x = 105
x = 21

Now that we know the value of 'x' is 21, we can find the number of red beads:
2x = 2 * 21 = 42

And the number of yellow beads:
6x = 6 * 21 = 126

To find the total number of beads, we add the number of blue, red, and yellow beads together:
Total = x + 2x + 6x = 9x = 9 * 21 = 189

Therefore, Louisa used a total of 189 beads altogether.