Answer:
The cost of each chicken sandwich is <u>$2.19</u> and the cost of each small orders of fries is <u>$1.15</u>.
Step-by-step explanation:
Given:
The cost of three chicken sandwiches and two small orders of fries is $8.87. And the cost of five chicken sandwiches and four small orders of fries is $15.55.
Now, to find the cost of each chicken sandwiches and each small orders of fries.
<u><em>Let the cost of each chicken sandwich be </em></u><u><em /></u>
<u><em>And let the cost of each small orders of fries be </em></u><u><em /></u>
So, the total cost of three chicken sandwiches and two small orders of fries:
......(1)
Now, the total cost of five chicken sandwiches and four small orders of fries:
.......(2)
Now, to solve the equations by using elimination method:
....(1)
.....(2)
So, multiplying equation (1) by 2 we get:
And, then subtracting equation (2) from the resulting equation (1):
<u>The cost of each chicken sandwich = $2.19.</u>
Now, substituting the value of in equation (1):
<em /><em />
<em>Subtracting both sides by 6.57 we get:</em>
<em /><em />
<em>Dividing both sides by 2.3 we get:</em>
<u>The cost of each small orders of fries = $1.15.</u>
Therefore, the cost of each chicken sandwich is $2.19 and the cost of each small orders of fries is $1.15.