Answer:
38 plain chocolate bars and 17 king-size chocolate bars.
Step-by-step explanation:
Let's define the variables:
P = number of plain chocolate bars sold
K = number of king chocolate bars sold
We know that each plain one costs $1.50, and each king one costs $2.25, then the total revenue is:
P*$1.50 + K*$2.25
Now we know that Jim sells a total of 55 candy bars, then:
P + K = 55
And we know that the total revenue is $95.25, then:
P*$1.50 + K*$2.25 = $95.25
Then we have the system of equations:
P + K = 55
P*$1.50 + K*$2.25 = $95.25
To solve this we need to isolate one of the variables in one of the equations, I will isolate P in the first equation to get:
P = 55 - K
Now we can replace is on the second one to get:
(55 - K)*$1.50 + K*$2.25 = $95.25
Now we can solve this for K
$82.50 - K*$1.50 + K*$2.25 = $95.25
K*($2.25 - $1.50) = $95.25 - $82.50 = $12.75
K*$0.75 = $12.75
K = $12.75/$0.75 = 17
This means that Jim sold 17 king-size chocolate bars.
Now we can replace this in the equation:
P + K = 55
P + 17 = 55
P = 55 - 17 =38
P = 38
Jim sold 38 plain chocolate bars.
