Question: Jaya used a ratio table to solve the following problem. Read the problem, then identify her strategy by filling in the blank below.
There are 12 doughnuts in a dozen. How many doughnuts are there in 4 dozen?
dozen 1 4
doughnuts 12 48
1. **State the problem:**
We want to find how many doughnuts are in 4 dozen if 1 dozen has 12 doughnuts.
2. **Identify the ratio:**
The ratio of doughnuts to dozens is given as:
$$\text{dozen} : 1 \to 4$$
$$\text{doughnuts} : 12 \to ?$$
3. **Set up the proportion:**
Since the ratio table shows that 1 dozen corresponds to 12 doughnuts, we can find the number of doughnuts in 4 dozen by multiplying:
$$\frac{12}{1} = \frac{x}{4}$$
4. **Solve for $x$:**
Multiply both sides by 4:
$$x = 12 \times 4$$
5. **Calculate:**
$$x = 48$$
6. **Interpretation:**
There are 48 doughnuts in 4 dozen.
7. **Jaya's strategy:**
She used a ratio table to multiply the known quantity (12 doughnuts per dozen) by the number of dozens (4) to find the total doughnuts.
**Final answer:**
There are $$48$$ doughnuts in 4 dozen.