Question

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: Define the equation

Let \( b \) be the price of the plain bowl and \( n \) be the price of one extra ingredient. From the statement, we have the equation \( b + 3n=13 \).

Step2: Find possible values

We can solve for \( b \) in terms of \( n \): \( b = 13 - 3n \). We need to find positive integer (or reasonable positive) values for \( n \) and \( b \).

• If \( n = 1 \), then \( b = 13 - 3(1)=10 \).
• If \( n = 2 \), then \( b = 13 - 3(2)=7 \).
• If \( n = 3 \), then \( b = 13 - 3(3)=4 \).
• If \( n = 4 \), then \( b = 13 - 3(4)=1 \).

These are possible values as long as prices are positive. Let's take one set, for example, \( n = 2 \) and \( b = 7 \) (or any of the above sets).

Answer:

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