Question

I planted red flowers in 0.6 of her
garden. I also planted yellow flowers in 0.4
of my garden. In 0.5 of the part with red
flowers she also planted white flowers. What
part of my garden has both red and
white flowers? How should I solve this in pictures

Answer 1

To solve this problem using pictures, we can represent the gardens as a rectangle divided into equal parts. Let's assume the rectangle represents the entire garden and each part of the rectangle represents an equal area.

First, let's divide the garden into 10 equal parts:

```
__ __ __ __ __ __ __ __ __ __
| | | | | | | | | | |
|__|__|__|__|__|__|__|__|__|__|
```

Next, we planted red flowers in 0.6 of her garden. So shade in 6 out of 10 parts to represent the red flowers:

```
__ __ __ __ __ __ __ __ __ __
|__|__|__|__|__|__| | | | |
|__|__|__|__|__|__|__|__|__|__|
```

Then, we planted yellow flowers in 0.4 of my garden. Shade in 4 out of 10 parts to represent the yellow flowers:

```
__ __ __ __ __ __ __ __ __ __
|__|__|__|__|__|__|__|__|__|__|
|__|__|__|__|__|__|__|__|__| |
```

Now, we know that in the part with red flowers, she also planted white flowers in 0.5 of that area. Divide the shaded part representing red flowers into 2 equal parts and shade 1 part to represent white flowers:

```
__ __ __ __ __ __ __ __ __ __
|__|__|__|__|__|__|__| | | |
|__|__|__|__|__|__|__|__|__| |
```

The shaded area where red and white flowers overlap represents the part of your garden that has both red and white flowers. In this case, it is 1 out of 10 parts:

```
__ __ __ __ __ __ __ __ __ __
|__|__|__|__|__|__|__|__|__|__|
|__|__|__|__|__|__|__|__|__|X |
```

Therefore, 0.1 or 1/10 of your garden has both red and white flowers.