Question
Mrs. Elliott's garden, \( \frac{1}{8} \) of the flowers are red, \( \frac{1}{4} \) of them are purple, and \( \frac{1}{5} \) of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?
Ask by Wagner Wagner. in Turkey
Jan 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 16 pink flowers in Mrs. Elliott's garden.
Solution
To determine the number of pink flowers in Mrs. Elliott's garden, let's break down the problem step-by-step.
1. **Total Number of Flowers:**
\[
\text{Total flowers} = 128
\]
2. **Red Flowers:**
\[
\frac{1}{8} \text{ of 128} = \frac{128}{8} = 16 \text{ red flowers}
\]
3. **Purple Flowers:**
\[
\frac{1}{4} \text{ of 128} = \frac{128}{4} = 32 \text{ purple flowers}
\]
4. **Remaining Flowers After Red and Purple:**
\[
128 - 16 - 32 = 80 \text{ remaining flowers}
\]
5. **Pink Flowers:**
\[
\frac{1}{5} \text{ of 80} = \frac{80}{5} = 16 \text{ pink flowers}
\]
**Final Answer:**
There are **16 pink flowers** in Mrs. Elliott's garden.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
Let's break down the flower distribution step by step: 1. Find the number of red flowers: \[ \text{Red flowers} = \frac{1}{8} \times 128 = 16 \] 2. Find the number of purple flowers: \[ \text{Purple flowers} = \frac{1}{4} \times 128 = 32 \] 3. Calculate the total number of flowers accounted for so far: \[ \text{Total accounted (red + purple)} = 16 + 32 = 48 \] 4. Find the remaining flowers: \[ \text{Remaining flowers} = 128 - 48 = 80 \] 5. Now, determine the number of pink flowers: \[ \text{Pink flowers} = \frac{1}{5} \times 80 = 16 \] So, Mrs. Elliott has **16 pink flowers** in her garden.
