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

26 orange beads.

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=(104)/(4)=26`

Therefore, there are 26 orange beads.