Question

let b equal the price of a bowl of plain phở and let n equal the price of each ingredient. what does the bar model represent? complete the statement. the price of a plain bowl plus the price of 3 extra ingredients equals $ 13. find possible values of b and n. b = n = ?

Explanation:

Step1: Analyze the equation

From the bar model, we have the equation \( b + 3n=13 \). We need to find positive real - valued solutions (since price can't be negative) for \( b \) and \( n \). Let's assume some reasonable values. For example, if we let \( n = 1 \), then \( b=13 - 3\times1=10 \); if \( n = 2 \), then \( b = 13-3\times2 = 7 \); if \( n=3 \), then \( b=13 - 3\times3=4 \); if \( n = 4 \), then \( b=13-3\times4 = 1 \). We can choose one of these pairs. Let's pick \( n = 2 \) and \( b = 7 \) (we can also choose other valid pairs like \( b = 10,n = 1 \) or \( b = 4,n = 3 \) or \( b = 1,n = 4 \)).

Step2: Verify the solution

Substitute \( b = 7 \) and \( n = 2 \) into the equation \( b + 3n \). We get \( 7+3\times2=7 + 6=13 \), which satisfies the equation \( b + 3n = 13 \).

Answer:

One possible solution is \( b = 7 \), \( n = 2 \) (Other valid solutions like \( b = 10,n = 1 \); \( b = 4,n = 3 \); \( b = 1,n = 4 \) are also acceptable)