Answer:
it would be (38x+15)+38y
Step-by-step explanation:
x=number of weeks
38 times x=38x
53x=53 weeks
bonus of 15=38x+15
By solving a system of equations, we will see that you must use 6.67 pounds of chocolate-covered almonds.
<h3>
How to solve the system of equations?</h3>
First, we need to define the two variables:
- x = number of pounds of the $9.99 chocolate-covered almonds used.
- y = number of pounds of the $5.99 chocolate-covered raisins used.
If we mix that, we will get:
x*$9.99 + y*$5.99 = (x + y)*C
That equation means that the cost of the individual elements of the mixture, must be equal to the total cost of the mixture. Where C is the cost of each pound of the mixture, and we know that:
C = $8.75
y = 3
Replacing that, we get:
x*$9.99 + 3*$5.99 = (x + 3)*$8.75
Now we can solve that for x:
x*$9.99 - x*$8.75 = 3*$8.75 - 3*$5.99
x*$1.24 = $8.28
x = $8.28/$1.24 = 6.67
Then you must use 6.67 pounds of the chocolate-covered almonds.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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The equation t = 10.5(c + a) represents the total money earned by the company from the sale of tickets
<u>Solution:</u>
Given that,
Ticket charged for people of all age groups = $ 10.50 per ticket
Let "c" represents the total number of children who bought tickets
Let "a" represents the total number of adults who bought tickets
Now, let the total money collect be represented by "t"
Number of people bought tickets = number of children bought tickets + number of adults bought tickets
<em><u>Now the total money earned by company is given as:</u></em>
Total money earned = cost per ticket x number of people bought tickets
Total money collected = cost per ticket x (number of children bought tickets + number of adults bought tickets)
Substituting the known values we get,

t = 10.5(c + a)
Hence, the required equation is t = 10.5(c + a)