in a garden 3/8 of the plants are flowering plants, 1/4 is shrubs and the rest are trees.There are 18 more trees than shrubs. How many plants are in the garden center alotogether?


Let the total number of plants in the garden be \( x \).

The fractions given for the different types of plants are as follows:
- \( \frac{3}{8} \) are flowering plants,
- \( \frac{1}{4} \) are shrubs,
- The rest are trees.

We can calculate the fraction of plants that are trees by subtracting the fractions of flowering plants and shrubs from 1:
\[
\text{Fraction of trees} = 1 - \left(\frac{3}{8} + \frac{1}{4}\right)
\]
First, express \( \frac{1}{4} \) as \( \frac{2}{8} \) so we can add the fractions:
\[
\frac{3}{8} + \frac{2}{8} = \frac{5}{8}
\]
\[
\text{Fraction of trees} = 1 - \frac{5}{8} = \frac{3}{8}
\]

Now we know:
- \( \frac{3}{8}x \) are flowering plants,
- \( \frac{1}{4}x = \frac{2}{8}x \) are shrubs,
- \( \frac{3}{8}x \) are trees.

It is given that there are 18 more trees than shrubs:
\[
\frac{3}{8}x - \frac{2}{8}x = 18
\]
Simplify the equation:
\[
\frac{1}{8}x = 18
\]
Multiply both sides by 8:
\[
x = 144
\]

Therefore, there are 144 plants in the garden altogether.

Would you like a detailed breakdown, or do you have any questions?

Here are 5 related questions:
1. How many flowering plants are in the garden?
2. How many shrubs are in the garden?
3. How many trees are in the garden?
4. What fraction of the plants in the garden are non-flowering plants?
5. If 10 more shrubs were added, how many trees would there be then?

**Tip:** Always double-check the sum of fractions to ensure you account for the total number of parts when solving fraction problems.

In a garden, 3/8 of the plants are flowering plants, 1/4 are shrubs, and the rest are trees. There are 18 more trees than shrubs. How many plants are in the garden altogether?

Solve a word problem involving fractions and algebra to find the total number of plants in a garden. 3/8 of the plants are flowering, 1/4 are shrubs, and the rest are trees, with 18 more trees than shrubs. Suitable for Grades 6-8.

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