Answer:
a. purple to orange =![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
b. purple to all beads=![\frac{5){11}](https://tex.z-dn.net/?f=%5Cfrac%7B5%29%7B11%7D)
c. all beads to orange=![\frac{11}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B6%7D)
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}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bnumber%20of%20purple%20boads%7D%7D%7B%5Ctext%7Bnumber%20of%20orange%20beads%7D%7D)
Ratio of purple to orange=![\frac{5x}{6x}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B6x%7D)
Ratio of purple to orange=![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
b. Ratio of purple to all beads
Ratio of purple to all beads=![\frac{\text{number of purple beads}}{\text{Total number of beads}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bnumber%20of%20purple%20beads%7D%7D%7B%5Ctext%7BTotal%20number%20of%20%20beads%7D%7D)
Ratio of purple to all beads=![\frac{5x}{11x}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B11x%7D)
Ratio of purple to all beads=![\frac{5}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B11%7D)
c. Ratio of all beads to orange
Ratio of purple to all beads=![\frac{\text{Total number of beads}}{\text{number of orange beads}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20number%20of%20%20beads%7D%7D%7B%5Ctext%7Bnumber%20of%20orange%20beads%7D%7D)
Ratio of purple to all beads=![\frac{11x}{6x}](https://tex.z-dn.net/?f=%5Cfrac%7B11x%7D%7B6x%7D)
Ratio of purple to all beads=![\frac{11}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B6%7D)