a. The equation becomes: 5/2 * s = 3/2 * s + s
b. Combined equation:- 4s = 0
Part A: Equation
Let's write an equation to represent the dough usage with "s" representing the dough needed for a small pizza:
Medium pizza: 3/2 times the dough of a small pizza, expressed as 3/2 * s.
Large pizza: 5/2 times the dough of a small pizza, expressed as 5/2 * s.
Dough usage equality: The dough used for one large pizza is equal to the combined dough used for one medium and one small pizza.
Therefore, the equation becomes:
5/2 * s = 3/2 * s + s
Part B: Combining Like Terms
We already have the equation from Part A:
5/2 * s = 3/2 * s + s
Simplifying:
Combine the terms on the right side of the equation:
3/2 * s + s = 5/2 * s
Combine the s terms:
5/2 * s = 9/2 * s
Move the common term to one side:
5s - 9s = 0
Combined equation:- 4s = 0
Complete question:
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Part A:
Write an equation to represent this situation with the variable s representing the amount of dough needed for a small pizza.
Part B:
Combine like terms without moving terms across the equal sign in the equation from part A.