I want to know if i am doing this correctly the set up
Julia and Kale share their toys together. Julia has 12
times as many as Kale has, and Julia has twice as many as
Kale has.
1. write an expression and then solve to know how much each has?
12x +x =2(12x+x)
She either has 12 times or she has 2 times, not both.
so julia has twice as much as kale and Julia has 12 times as much?
only of there are two girls named Julia (or julia) ...
To solve this problem, we need to create and solve an algebraic expression. Let's break the problem down step by step to find the answer.
Step 1: Define the variables.
Let's say J represents the number of toys Julia has, and K represents the number of toys Kale has.
Step 2: Translate the given information into equations.
The problem states that Julia has 12 times as many toys as Kale, so we can write the equation: J = 12K.
The problem also states that Julia has twice as many toys as Kale, so we can write the equation: J = 2K.
Step 3: Set up an expression and solve the equation.
To find out how many toys each of them has, we can set up the equation: J + K = 2(12K + K).
Simplifying the equation, we have: J + K = 2(13K).
Expanding the right side, we have: J + K = 26K.
Now, substitute J = 2K (from the second given equation) into the equation above: 2K + K = 26K.
Simplifying the equation further: 3K = 26K.
To solve for K, we can subtract 26K from both sides of the equation: 3K - 26K = 0.
Simplifying: -23K = 0.
Dividing both sides by -23, we find: K = 0.
Since we cannot have 0 toys, it seems there might be an error in the given information or equations. Please double-check and provide any additional information if available.