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

Answer:

a. purple to orange  =$\frac{5}{6}$

b. purple to all beads=$\frac{5){11}$

c. all beads to orange=$\frac{11}{6}$

Step-by-step 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=$\frac{5x}{6x}$

Ratio of  purple to orange=$\frac{5}{6}$

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=$\frac{5x}{11x}$

Ratio of purple to all beads=$\frac{5}{11}$

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=$\frac{11x}{6x}$

Ratio of purple to all beads=$\frac{11}{6}$