Pregunta
16. Karen saved P200 this week from her allowance. If this amount is P50 more than twice the amount she saved last week, how much did she save last week?
Ask by Fleming Todd. in the Philippines
Jan 20,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Karen saved P75 last week.
Solución
Let's solve the problem step by step.
**Given:**
- Karen saved **P200** this week.
- This amount is **P50 more** than **twice** the amount she saved last week.
**Let's define:**
- Let **\( x \)** be the amount Karen saved **last week**.
**According to the problem:**
\[ 200 = 2x + 50 \]
**Step-by-Step Solution:**
1. **Set Up the Equation:**
\[
200 = 2x + 50
\]
2. **Subtract 50 from both sides to isolate the term with \( x \):**
\[
200 - 50 = 2x
\]
\[
150 = 2x
\]
3. **Divide both sides by 2 to solve for \( x \):**
\[
\frac{150}{2} = x
\]
\[
x = 75
\]
**Conclusion:**
Karen saved **P75** last week.
Revisado y aprobado por el equipo de tutoría de UpStudy
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The Deep Dive
To find out how much Karen saved last week, let’s call the amount she saved last week "x." The problem states that P200 is P50 more than twice that amount. We can set up the equation: P200 = 2x + P50. Now, let’s simplify it. By subtracting P50 from both sides, we get P150 = 2x. Dividing both sides by 2 gives us x = P75. So, Karen saved P75 last week! Now, isn't it cool how we can turn a little money mystery into math magic?
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