QUESTION IMAGE
Question
the amount of electricity used in a typical all - electric home is shown in the circle graph below. in a certain month, a home used 1,000 kwh (kilowatt - hours). find the amount of electricity used by the clothes dryer.
(the pie chart has different categories with their percentages: heating and cooling 42%, water heater 10%, clothes dryer (a certain percentage), other 4%, refrigerator 19%, miscellaneous 17%)
Step1: Find total electricity
Given the home used 1,000 kWh for a category (let's assume it's the one with 45%? Wait, no—wait, the problem says "a home used 1,000 kWh" for a part, but actually, first, we need to find the total electricity. Wait, no, maybe the 1,000 kWh is for a specific category. Wait, looking at the pie chart: let's list the percentages.
Wait, the pie chart has:
- Heating and Cooling: 45%
- Water Heater: let's say 10% (blue)
- Clothes Dryer: 5% (red)
- Other: 10% (light blue)
- Refrigerator: 15% (light blue)
- Dishwasher: 15%? Wait, no, the labels:
Wait, the problem: "a home used 1,000 kWh"—wait, maybe the 1,000 kWh is for a category, but actually, first, we need to find the total. Wait, no, maybe the 1,000 kWh is the total? Wait, no, the problem says "a home used 1,000 kWh" for a part, but actually, let's re-express.
Wait, the pie chart: let's assume the percentages. Let's say:
- Heating and Cooling: 45%
- Water Heater: 10%
- Clothes Dryer: 5%
- Other: 10%
- Refrigerator: 15%
- Dishwasher: 15%? Wait, no, the labels: "Dishwasher 15%", "Refrigerator 15%", "Other 10%", "Clothes Dryer 5%", "Water Heater 10%", "Heating and Cooling 45%". Wait, 45 + 10 + 5 + 10 + 15 + 15 = 100? 45+10=55, +5=60, +10=70, +15=85, +15=100. Yes.
Now, the problem: "In a certain month, a home used 1,000 kWh (kilowatt-hours). Find the amount of electricity used by the clothes dryer." Wait, no—wait, maybe the 1,000 kWh is for a category. Wait, no, the clothes dryer is 5%? Wait, no, let's check the percentages. Wait, the clothes dryer is 5%? Wait, the pie chart:
Wait, the labels:
- Heating and Cooling: 45%
- Water Heater: 10%
- Clothes Dryer: 5%
- Other: 10%
- Refrigerator: 15%
- Dishwasher: 15%? Wait, no, the problem says "a home used 1,000 kWh"—wait, maybe the 1,000 kWh is the total? Wait, no, if the clothes dryer is 5%, then the electricity used by clothes dryer is 5% of total. But wait, maybe the 1,000 kWh is for a category. Wait, no, the problem: "the amount of electricity used in a typical all-electric home is shown in the circle graph below. If in a certain month, a home used 1,000 kWh (kilowatt-hours), find the amount of electricity used by the clothes dryer."
Wait, first, find the percentage for clothes dryer. From the pie chart, clothes dryer is 5% (since 45 + 15 + 10 + 5 + 10 + 15 = 100? Wait, 45 (heating/cooling) + 15 (dishwasher) + 10 (other) + 5 (clothes dryer) + 10 (water heater) + 15 (refrigerator) = 45+15=60, +10=70, +5=75, +10=85, +15=100. Yes. So clothes dryer is 5%.
Now, total electricity is 1,000 kWh? Wait, no—wait, the problem says "a home used 1,000 kWh"—wait, maybe the 1,000 kWh is the total. Then, electricity used by clothes dryer is 5% of 1,000 kWh.
Step2: Calculate clothes dryer electricity
Percentage for clothes dryer: 5% = 0.05
Electricity = 0.05 * 1000 = 50 kWh
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50 kWh