Answer :
Answer:
There are 6 green beads there.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of green beads
y is the number of yellow beads
The ratio of green beads to yellow beads in a bracelet is three to four.
This means that
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
So
[tex]3y = 4x[/tex]
[tex]y = \frac{4x}{3}[/tex]
The total number of beads is 14.
This means that [tex]x + y = 14[/tex]
How many green beads are there ?
This is x.
[tex]x + y = 14[/tex]
However
[tex]y = \frac{4x}{3}[/tex]
So
[tex]x + \frac{4x}{3} = 14[/tex]
Using multiplying by the gcm(3)
[tex]3x + 4x = 42[/tex]
[tex]7x = 42[/tex]
[tex]x = 6[/tex]
There are 6 green beads there.