Question

If all the beads in a jar are either orange or purple and the ratio of orange to purple beads is 6 to 5, what is the ratio of the following:

a. purple to orange
b. purple to all beads
c. all beads to orange
Please help ASAP on all 3 parts!!! :(

Answer 1

a. purple to orange =
`(5)/(6)`

b. purple to all beads=

c. all beads to orange=
`(11)/(6)`

Explanation:

Given:

Colour of beads in jar = orange or purple

The ratio of orange to purple beads = 6 : 5

Solution:

Let number of orange beads be= 6x

Number of purple beads=5x

Total no of beads= 6x+5x=11x

a. Ratio of purple to orange.

Ratio of purple to orange=
`\frac{\text{number of purple boads}}{\text{number of orange beads}}`

Ratio of purple to orange=
`(5x)/(6x)`

Ratio of purple to orange=
`(5)/(6)`

b. Ratio of purple to all beads

Ratio of purple to all beads=
`\frac{\text{number of purple beads}}{\text{Total number of  beads}}`

Ratio of purple to all beads=
`(5x)/(11x)`

Ratio of purple to all beads=
`(5)/(11)`

c. Ratio of all beads to orange

Ratio of purple to all beads=
`\frac{\text{Total number of  beads}}{\text{number of orange beads}}`

Ratio of purple to all beads=
`(11x)/(6x)`

Ratio of purple to all beads=
`(11)/(6)`