Question

The ratio of green beads to yellow beads in a bracelet is three to four. The total number of beads is 14. How many green beads are there ?

Answer 1

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

$\frac{x}{y} = \frac{3}{4}$

So

$3y = 4x$

$y = \frac{4x}{3}$

The total number of beads is 14.

This means that $x + y = 14$

How many green beads are there ?

This is x.

$x + y = 14$

However

$y = \frac{4x}{3}$

So

$x + \frac{4x}{3} = 14$

Using multiplying by the gcm(3)

$3x + 4x = 42$

$7x = 42$

$x = 6$

There are 6 green beads there.