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
To solve this problem, we need to break down the information and calculate the part of your garden that has both red and white flowers.
Let's start by assigning variables to each part of the garden:
- Let's call the total size of your garden "G".
- The part of her garden where you planted red flowers is 0.6G.
- The part of your garden where you planted yellow flowers is 0.4G.
- In the part with red flowers, she also planted white flowers, which is 0.5(0.6G) = 0.3G.
Now, we need to find the part of your garden where both red and white flowers are planted.
To do this, we need to find the intersection of the parts with red and white flowers. The formula for calculating the intersection of two sets is:
Intersection = Size of Set A × Size of Set B
In this case, Set A represents the part with red flowers (0.6G) and Set B represents the part with white flowers in the red flower section (0.3G).
So, the part of your garden that has both red and white flowers is:
Intersection = 0.6G × 0.3G = 0.18G
Therefore, 0.18G of your garden has both red and white flowers.
To summarize:
- The part of your garden with both red and white flowers is 0.18G.
- You solved this by finding the intersection of the parts with red and white flowers using the formula: Intersection = Size of Set A × Size of Set B.
To solve this problem, we need to break it down into steps:
Step 1: Determine the portion of your garden with red flowers.
You planted red flowers in 0.6 (or 60%) of her garden.
Step 2: Determine the portion of your garden with yellow flowers.
You planted yellow flowers in 0.4 (or 40%) of your garden.
Step 3: Determine the portion of the part with red flowers where white flowers were planted.
In 0.5 (or 50%) of the part with red flowers, she planted white flowers.
Step 4: Calculate the portion of your garden that has both red and white flowers.
Multiply the portions from steps 1 and 3. 0.6 (red flowers) x 0.5 (white flowers in red flower portion) = 0.3 (or 30%). Therefore, 30% of your garden has both red and white flowers.
Conclusion: The portion of your garden that has both red and white flowers is 30%.
To solve this problem, we can break it down into steps:
Step 1: Calculate the part of the garden that has red flowers.
0.6 of her garden has red flowers.
Step 2: Calculate the part of your garden that has yellow flowers.
0.4 of your garden has yellow flowers.
Step 3: Calculate the area where both of you planted flowers.
Since she planted white flowers in 0.5 of the part with red flowers, we need to find 0.5 of 0.6.
0.5 * 0.6 = 0.3
Therefore, 0.3 of your garden has both red and white flowers.