Math  /  Algebra

QuestionЦахилгааны тариф өдрийн хэрэглээ нэг киловатт нь 110 төгрөг, шөнийн хэрэглээ нэг киловатт нь 80 төгрөг байв. Доржийн энэ сарын өдөр, шөнийн нийт хэрэглээ нийлээд 204 киловатт болсон. Шөнийн нийт хэрэглээг х гэвэл төлбөр нь 80х болно. Тэгвэл өдрийн хэрэглээний нийт төлбөр нь ямар байх вэ?

Studdy Solution

STEP 1

1. Daytime electricity usage is charged at 110 MNT per kilowatt.
2. Nighttime electricity usage is charged at 80 MNT per kilowatt.
3. Dorj's total electricity usage for the month is 204 kilowatts.
4. Let x x be the nighttime electricity usage in kilowatts.
5. The total cost for nighttime usage is 80x 80x MNT.
6. We need to find the total cost for daytime usage.

STEP 2

1. Define the variable for daytime usage.
2. Write an equation for total usage.
3. Solve for daytime usage.
4. Calculate the total cost for daytime usage.

STEP 3

Define the variable for daytime usage.
Let y y be the daytime electricity usage in kilowatts.

STEP 4

Write an equation for total usage.
The total usage is the sum of daytime and nighttime usage, so:
x+y=204 x + y = 204

STEP 5

Solve for daytime usage.
Rearrange the equation to solve for y y :
y=204x y = 204 - x

STEP 6

Calculate the total cost for daytime usage.
The cost for daytime usage is 110 MNT per kilowatt, so:
Total cost for daytime usage=110y=110(204x) \text{Total cost for daytime usage} = 110y = 110(204 - x)
=110×204110x = 110 \times 204 - 110x
=22440110x = 22440 - 110x
The total cost for daytime usage is:
22440110x \boxed{22440 - 110x} MNT

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