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3 years ago

6

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 th

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

1 answer:

dmitriy555 [2]3 years ago

8 0

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= $\frac{11}{6}$

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