A person with a one-bedroom apartment used x kWh of electricity one month and y
kWh the next month. Since he used a lot of electricity the first month, he made an
effort to use less the second month. The decrease in his usage, , was 58 kWh .
His average usage for the two months, , was 323 kWh . How much electricity did
he use during the second month?

Ask by Bryant Bowman. in the United States

Jan 24,2025

Question

A person with a one-bedroom apartment used x kWh of electricity one month and y
kWh the next month. Since he used a lot of electricity the first month, he made an
effort to use less the second month. The decrease in his usage, , was 58 kWh .
His average usage for the two months, , was 323 kWh . How much electricity did
he use during the second month?

Ask by Bryant Bowman. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

To determine how much electricity was used during the second month ($$ y $$), we can set up and solve a system of equations based on the information provided.

1. **Given Equations:**
   - The decrease in usage: $$ x - y = 58 $$ kWh
   - The average usage over two months: $$ \frac{x + y}{2} = 323 $$ kWh

2. **Solve for $$ x + y $$:**
   $$
   \frac{x + y}{2} = 323 \implies x + y = 646
   $$

3. **Express $$ x $$ in terms of $$ y $$:**
   $$
   x = y + 58
   $$

4. **Substitute $$ x $$ into the sum equation:**
   $$
   (y + 58) + y = 646 \implies 2y + 58 = 646
   $$

5. **Solve for $$ y $$:**
   $$
   2y = 646 - 58 \implies 2y = 588 \implies y = 294
   $$

**Therefore, the electricity used during the second month was 294 kWh.**

**Answer:**

$$ y = 294 $$ kWh
$$ y = 294 $$ kWh

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions