We want to write and solve a system of equations to see how is the caloric content of two types of dessert.
We will see that a serving of ice cream has 214.5 calories, while a serving of blueberry pie has 297.75 calories.
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To find the system of equations we need to see what information is given.
We know that:
If we define the variables:
From the given information we can write the equations:
1*c + 2*b = 810 cal
3*c + 2*b = 1230 cal.
Now we can try to solve this system.
To solve it, we can see that in both equations we have the term "2*b", so we can isolate it in both equations to get:
2*b = 810 cal - 1*c
2*b = 1239 cal - 3*c
Now we can write:
810 cal - 1*c = 2*b = 1239 cal - 3*c
810 cal - 1*c = 1239 cal - 3*c
Now we can solve this for c:
810 cal - 1*c = 1239 cal - 3*c
3*c - 1*c = 1239 cal - 810 cal
2*c = 429 cal
c = (429 cal)/2 = 214.5 cal
Now that we know the value of c, we can find the value of b.
2*b = 810 cal - 1*c = 810 cal - 214.5 cal = 595.5 cal
b = (595.5 cal)/2 = 297.75 cal.
Then we can see that a serving of ice cream has 214.5 calories, while a serving of blueberry pie has 297.75 calories.
If you want to learn more, you can read:
https://brainly.com/question/20067450
