The ratio of black squirrels to brown squirrels is 8 to 13 If there were 231 total squirrels what percent to the nearest whole percent were black?
And how many squirrels were brown?
8/21 = 0.3809 = 38% were black
black / brown = 8 / 13
so
13 black = 8 brown
brown = (13/8) black
so
black + (13/8) black = 231
(8/8 + 13/8) black = 231
21/8 black = 231
black = 88
(88/231)100 = 38 percent
now we could have done that without using the 231
8 + 13 = 21
(8/21) 100 = 38 percent
To find the percent of black squirrels, we first need to determine the number of black squirrels and brown squirrels.
Given that the ratio of black squirrels to brown squirrels is 8 to 13, we can set up the following equation:
8x + 13x = 231 (where x represents the common multiple of the ratio)
Combining like terms, we have:
21x = 231
Dividing both sides by 21, we find:
x = 231/21
Simplifying, we have:
x = 11
Now we can calculate the number of black squirrels by multiplying the ratio by x:
8 * 11 = 88
Therefore, there are 88 black squirrels.
To find the percent of black squirrels out of the total number of squirrels, we divide the number of black squirrels by the total number of squirrels and then multiply by 100:
(88/231) * 100 ≈ 38.1%
So, to the nearest whole percent, approximately 38% of the squirrels are black.
To find the number of brown squirrels, we subtract the number of black squirrels from the total number of squirrels:
231 - 88 = 143
Therefore, there are 143 brown squirrels.