Question
4) What is the solution of \( 86 \cdot 90= \) \( 5 a+100 ? \) AI B. 2 C 3 D 4
Ask by Turner Kirk. in the Philippines
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The solution is \( a = 1528 \), but none of the provided options match this value.
Solution
Let's solve the equation step by step:
Given:
\[ 86 \times 90 = 5a + 100 \]
1. **Calculate \( 86 \times 90 \):**
\[
86 \times 90 = 7740
\]
2. **Set up the equation:**
\[
7740 = 5a + 100
\]
3. **Subtract 100 from both sides to isolate the term with \( a \):**
\[
7740 - 100 = 5a
\]
\[
7640 = 5a
\]
4. **Solve for \( a \) by dividing both sides by 5:**
\[
a = \frac{7640}{5} = 1528
\]
**Result:**
\[ a = 1528 \]
However, looking at the provided multiple-choice options:
- **B. 2**
- **C. 3**
- **D. 4**
None of these options match the calculated value of \( a = 1528 \). It's possible there might be a typo or error in the question or the answer choices provided. Please double-check the equation and the available options to ensure they align correctly.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find the solution of the equation \( 86 \cdot 90 = 5a + 100 \), first compute \( 86 \cdot 90 \), which equals 7740. Next, set up the equation: \( 7740 = 5a + 100 \). Subtract 100 from both sides to get \( 7740 - 100 = 5a \), leading to \( 7640 = 5a \). Finally, divide both sides by 5 to solve for \( a \), resulting in \( a = 1528 \). Craving a bit of an extra challenge? Consider how this formula might apply to real-life scenarios, like when calculating budget splits among friends or estimating costs for a project. It’s crazy how a simple algebraic equation helps in managing finances, making sure everyone’s happy when the bill arrives!
