Question

A necklace is made from 40 beads. 2/5 of the beads are white. The rest of the beads are red. Find the ratio of red beads to white beads in its simplest form.

Answer 1

The ratio of red beads to white beads is 3 : 2.

Step-by-step explanation:

To find the ratio of red beads to white beads, we first need to determine the number of white beads and red beads. The given information states that 2/5 of the beads are white, which means there are 2/5 × 40 = 16 white beads. The rest of the beads must be red, so there are 40 - 16 = 24 red beads.

Therefore, the ratio of red beads to white beads is 24 : 16, which can be simplified to 3 : 2.

Answer 2

The total number of beads in the necklace is 40 beads.

Number of white beads:

2/5 of the beads are white.

Therefore, the number of white beads is:

`\Rightarrow(2)/(5)*40=16\text{ beads}`

Number of red beads:

The number of red beads is:

`\Rightarrow40-16=24\text{ beads}`

Ratio of red beads to white beads:

The ratio is given to be:

`red\colon white=24\colon16`

We can divide through by 8 to get the simplified form, such that:

`red\colon white=3\colon2`

The ratio is 3 : 2.