Question

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?

Answer 1

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)`