How do you draw the model and the number equations for this question: Kelly has 5 times as many stickers as Meiling. They have 300 stickers altogether. How many stickers does Kelly have? Pls help! Thnx
K = 5 M
K + M = 300
substitution is probably the best solution method
Meiling has X stickers.
Kelly has 5x stickers.
x + 5x = 300.
Sure! To solve this problem, we can use a visual model and number equations to find the number of stickers Kelly has. Here's how you can draw the model and write the equations:
1. Drawing the Model:
Draw two boxes or circles representing Kelly and Meiling's sticker quantities. Since Kelly has five times as many stickers as Meiling, the boxes or circles representing Kelly should be five times the size of Meiling's.
For example:
Meiling's box (or circle): -----
Kelly's box (or circle): -----
2. Writing the Equations:
Let's assign a variable to represent Meiling's sticker quantity. We'll call it "m" for Meiling. Since Kelly has five times as many stickers as Meiling, Kelly's sticker quantity can be represented as 5m.
Given that they have 300 stickers altogether, we can write an equation representing their total sticker quantity:
m + 5m = 300
3. Solving the Equation:
Combine like terms on the left side of the equation:
6m = 300
Divide both sides by 6 to isolate "m":
m = 300 / 6
m = 50
So Meiling has 50 stickers.
4. Finding Kelly's Sticker Quantity:
Since we know Kelly has five times as many stickers as Meiling (5m), we can substitute Meiling's quantity into the equation:
Kelly's stickers = 5 * Meiling's stickers
Kelly's stickers = 5 * 50
Kelly's stickers = 250
Therefore, Kelly has 250 stickers.
In conclusion, Kelly has 250 stickers, and Meiling has 50 stickers.