Questions: Robert planted 18 daffodil bulbs and 24 tulip bulbs in his garden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Robert's garden? Express as a simplified ratio. 24/18 4/3

Robert planted 18 daffodil bulbs and 24 tulip bulbs in his garden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Robert's garden? Express as a simplified ratio.

24/18 4/3

Transcript text: COMMUNITY COLLEGES ® Study Paths College Algebra Placement Study Path Test Test Topic: Simplifying Ratios and Rates Progress: Question ID: 106516 The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Robert planted 18 daffodil bulbs and 24 tulip bulbs in his garden last winter. If all the bulbs sprout and bloom this spring, what will be the ratio of tulips to daffodils in Robert's garden? Express as a simplified ratio. $\frac{18}{24}$ $\frac{24}{18}$ $\frac{4}{3}$ Submit Pass Save and close Don't know answer

Solution

Solution Steps

To find the ratio of tulips to daffodils, we need to compare the number of tulip bulbs to the number of daffodil bulbs. We then simplify this ratio by dividing both numbers by their greatest common divisor (GCD).

Step 1: Determine the Ratio

Robert planted $ 24 $ tulip bulbs and $ 18 $ daffodil bulbs. The ratio of tulips to daffodils can be expressed as:

\[ \text{Ratio} = \frac{\text{Number of Tulips}}{\text{Number of Daffodils}} = \frac{24}{18} \]

Step 2: Simplify the Ratio

To simplify the ratio $ \frac{24}{18} $, we need to find the greatest common divisor (GCD) of $ 24 $ and $ 18 $. The GCD is $ 6 $. We can now simplify the ratio by dividing both the numerator and the denominator by $ 6 $:

\[ \frac{24 \div 6}{18 \div 6} = \frac{4}{3} \]