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?

1 Answer
May 8, 2018

There are color(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*2 = 12 roses
40% daisies = 6*4 = 24 daisies
10% tomato plants = 6*1 = 6 tomato plants
30% carrot plants = 6*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=color(red)(60)