Question

The ratio of the ounces of mango juice to lemonade in a punch is 11:14. Which ratio is equivalent to 11:14?
45 to 55
22:27
33:48
44 to 56

Answer 1

To find which of the given ratios is equivalent to 11:14, we need to simplify each of the options and see if they can be expressed in the same form.

1. **45 to 55:**
- Simplifying the ratio:
\[
45:55 = \frac{45}{55} = \frac{45 \div 5}{55 \div 5} = \frac{9}{11}
\]
- This is not equivalent to 11:14.

2. **22:27:**
- Simplifying the ratio:
\[
22:27 \quad \text{(Cannot be simplified further)}
\]
- This is not equivalent to 11:14.

3. **33:48:**
- Simplifying the ratio:
\[
33:48 = \frac{33}{48} = \frac{33 \div 3}{48 \div 3} = \frac{11}{16}
\]
- This is not equivalent to 11:14.

4. **44 to 56:**
- Simplifying the ratio:
\[
44:56 = \frac{44}{56} = \frac{44 \div 4}{56 \div 4} = \frac{11}{14}
\]
- This is equivalent to 11:14.

Thus, the equivalent ratio to 11:14 is **44 to 56**.