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?
To determine the part of your garden that has both red and white flowers, we need to calculate the intersection of the areas where red and white flowers are planted.
The fraction of your garden with red flowers is 0.6, therefore the fraction of your garden without red flowers is 1 - 0.6 = 0.4.
Out of the part with red flowers (0.6), she also planted white flowers in 0.5 of that area. Thus, the fraction of your garden with both red and white flowers is 0.6 * 0.5 = 0.3.
Therefore, 0.3 or 30% of your garden has both red and white flowers.
To determine the part of your garden that has both red and white flowers, we need to calculate the intersection of the areas with red flowers and white flowers.
Let's break it down step by step:
1. You planted red flowers in 0.6 of your garden.
2. Your friend planted white flowers in 0.5 of the part with red flowers.
3. Therefore, the portion of your garden with both red and white flowers is the intersection of the area with red flowers (0.6) and the area with white flowers in the part with red flowers (0.5).
To calculate this:
0.6 * 0.5 = 0.3
So, 0.3 part of your garden has both red and white flowers.
To find out what part of your garden has both red and white flowers, we need to calculate the intersection of the red flowers area and the area with white flowers.
Let's break down the information given:
- You planted red flowers in 0.6 (or 60%) of her garden.
- You planted yellow flowers in 0.4 (or 40%) of your garden.
- In 0.5 (or 50%) of the part with red flowers, she also planted white flowers.
To find the part of your garden with both red and white flowers, follow these steps:
Step 1: Calculate the part of your garden with red flowers:
Multiply the area of her garden (1) by the proportion of red flowers you planted (0.6):
1 * 0.6 = 0.6
Step 2: Calculate the part of your garden with white flowers:
Multiply the part of your garden with red flowers (0.6) by the proportion of the red flowers area where she planted white flowers (0.5):
0.6 * 0.5 = 0.3
Therefore, 0.3 (or 30%) of your garden has both red and white flowers.