Question

A box has orange, green, and brown beads. There are 8 more orange beads than green beads. There are twice as many brown beads as orange. There are 96 beads in all. How many orange beads are there?

Answer 1

Answer:

26 orange beads.

Step-by-step explanation:

Let O, G, B represent number of orange beads, green beads and brown beads respectively.

We have been that there are 8 more orange beads than green beads. We can represent this information in an equation as:

$O=G+8...(1)$

$G=O-8...(1)$

There are twice as many brown beads as orange. We can represent this information in an equation as:

$B=2\cdot O...(2)$

There are 96 beads in all. We can represent this information in an equation as:

$B+O+G=96...(3)$

Upon substituting equation (1) and (2) in equation (3), we will get:

$2\cdot O+O+O-8=96$

$4\cdot O-8+8=96+8$

$4\cdot O=104$

$O=\frac{104}{4}=26$

Therefore, there are 26 orange beads.