Question

how can you solve each problem? 9. justin wants to buy roses for his mother and aunt. he wants to give them both the same number of roses. how can you use two equations to represent how many roses justin might buy? explain your answer.

Explanation:

Step1: Define variables

Let $x$ be the number of roses for mother and $y$ be the number of roses for aunt. Since the number of roses for both is the same, $x = y$. Let $n$ be the total number of roses Justin buys. Then $n=x + y$.

Step2: Substitute and form equations

Substitute $y=x$ into $n=x + y$. We get $n = 2x$ (where $x$ is a non - negative integer representing the number of roses for each person). Another way to write it is if we let $k$ be the number of roses for one of them, the total number of roses $T=2k$.

Answer:

Two possible equations are $n = 2x$ and $T = 2k$ (where $x$ and $k$ are non - negative integers representing the number of roses given to either mother or aunt).