2 dude, 2..........................................
4+2+8+6 = 20 total
8 purple
so 8/20 reduced to 2/5 chance for a purple
then there will be 19 left
6 blue =
6/19 probability of having a blue one
2/5 * 6/16 = 12/80 reduces to 3/20 probability total
Based on the calculations, Kirk bought 2.4 bags of popcorn and 7.2 sodas.
- Let the number of sodas bought be s.
- Let the number of bags of popcorn be p.
<u>Given the following data:</u>
a. To write a system of equations that models this scenario:
<h3>What is a system of
equations?</h3>
A system of equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
<h3>For the
soda and
popcorn:</h3>
...equation 1.
Translating the word problem into an algebraic expression, we have;
Three times as many bags of popcorn as sodas:
...equation 2.
b. To determine how many of each item Kirk bought:
Substituting eqn. 2 into eqn. 1, we have:

p = 2.4 bags of popcorn
<u>For soda:</u>

s = 7.2 sodas.
Read more on word problems here: brainly.com/question/13170908