# Samantha's garden is 20% roses. Half of the rest of the garden is planted with daisies. Of the remaining garden 25% is planted with tomato plants. The rest is planted with 18 carrot plants. How many plants does she have in her garden?

May 8, 2018

There are $\textcolor{red}{60}$ plants in Samantha's garden.

#### Explanation:

To start, we know 20% of Samantha's garden is roses.

Next, the problem says half of the rest is daisies. This means that half (50%) of the rest of the garden (80%) is daisies, and half of 80% is 40%, meaning 40% of Samantha's garden is daisies.

The problem then says that 25% of the remaining garden is tomato plants. 40% of the garden remains, and 25% of $40$ is 10%, so 10% is tomato plants.

Finally, the rest of the garden (the last 30%) is planted with $18$ carrot plants.

If 30% = 18, then we can divide both sides by $3$ to find that 10% = 6 plants.

Use that to find:
20% roses = $6 \cdot 2 = 12$ roses
40% daisies = $6 \cdot 4 = 24$ daisies
10% tomato plants = $6 \cdot 1 = 6$ tomato plants
30% carrot plants = $6 \cdot 3 = 18$ carrot plants

The question asks for the total number of plants in Samantha's garden, so the final step is to add up all of the plant numbers for a total:

$12 + 24 + 6 + 18 = \textcolor{red}{60}$