Core Connections Algebra 1, 2013
CC
Core Connections Algebra 1, 2013 View details
2. Section 4.2
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Exercise 62 Page 168

a Every equation has an equals sign and values or expressions on either side of the Key phrases such as or in this case, tell us about the placement of the equals sign.
On the left-hand side we have the number of pizza slices sold, which we can assign an arbitrary variable to. We will choose as our variable.
On the right-hand side, the key words are less than and twice the number. These words tell us the operations that will be used in our equation. Less than indicates subtraction, while twice the number indicates multiplication. If we call the number of burritos we can write the right-hand side of the equation.
As for the second equation, we know that was collected. However, we do not know how many pizza slices, and burritos, were sold. If a pizza slice costs we can create an expression describing the cost of pizza slices.
By the same reasoning, if a burrito costs we will pay dollars for burritos. The sum of these expressions should equal
By combining these we get the following system of equations.
b To solve the system of equations from Part A we can use the Substitution Method, as the first equation is already solved for
Solve for
Now that we found let's substitute it in the first equation and determine
Since was the number of pizza slices, we conclude that the number of pizza slices sold was