A midwestern music competition awarded 38 ribbons. The number of blue ribbons awarded was 1 less than the number of white ribbon
s. The number of red ribbons was 3 more than the number of white ribbons. How many of each kind of ribbon was awarded?
1 answer:
Starting from what I know (the difference between ribbons), I decided to go from the bottom and work my way up. I then noticed a pattern (each sum was three more of the previous one), and decided to keep my pattern of the three numbers but not have to do any major mental work and instead add three to the previous sum until I got to 38.
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Answer:
Step-by-step explanation:
First, let's examine our original statement.
Using exponent rules, we know that if we have , then simplified, the answer will be equivalent to
.
So we can simplify this by adding the exponents and
.
Converting into fourths gets us
.
.
So we now have .
When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.
Basically, this becomes
. (The numerator is what we raise x to the power of, the denominator is the root we take of that).
Hope this helped!