Last week, Colleen's Ice Creamery sold 32 sundaes with nuts and 18 sundaes without nuts. What is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?

1 answer

To find the ratio of the number of sundaes without nuts to the number of sundaes with nuts, we have the following numbers:

  • Number of sundaes without nuts: 18
  • Number of sundaes with nuts: 32

The ratio is calculated as follows:

\[ \text{Ratio} = \frac{\text{Number of sundaes without nuts}}{\text{Number of sundaes with nuts}} = \frac{18}{32} \]

Next, we can simplify this fraction. Both 18 and 32 can be divided by their greatest common divisor (GCD), which is 2:

\[ \frac{18 \div 2}{32 \div 2} = \frac{9}{16} \]

Thus, the ratio of the number of sundaes without nuts to the number of sundaes with nuts is \( \frac{9}{16} \).

In conclusion, the final ratio is:

\[ \boxed{9:16} \]