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!!! :(
number of orange : number of purple = 6x : 5x = 6 : 5
so purple to orange = 5 : 6
purple : all = 5x : 11x = 5 : 11
all : orange = 11x : 6x = 11 : 6
Why did you find this difficult?
Well because I was a little confused at first on whether I had to write the answer as a fraction or as a ratio! But now I understand that it has to be written as a ratio! :)
To determine the ratios, we first need to calculate the number of orange and purple beads in the jar. Let's assume there are a total of 11 beads in the jar (since the ratio of orange to purple beads is 6 to 5).
a. The ratio of purple to orange beads is the inverse of the given ratio (orange to purple). So, it would be 5 to 6.
b. The ratio of purple to all beads can be found by dividing the number of purple beads by the total number of beads. From the given ratio, we know that for every 11 beads, 5 are purple. So the ratio of purple to all beads is 5 to 11.
c. The ratio of all beads to orange can be calculated by dividing the total number of beads by the number of orange beads. Again, based on the given ratio, we know that for every 11 beads, 6 are orange. So the ratio of all beads to orange is 11 to 6.
In summary:
a. The ratio of purple to orange is 5 to 6.
b. The ratio of purple to all beads is 5 to 11.
c. The ratio of all beads to orange is 11 to 6.