The Cruz family used a total of 134 Kilowatt-hours of electricity for a period of two months. The amount of electricity used during the second month in 25 kwh less than twice the number of kwh used in the first month. Determine the amount of electricity consumed by the family in each month.
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Answer:
81 kwh
Step-by-step explanation:
Let x be the amount of electricity consumed by the Cruz family in the first month.
We know from the problem statement that:
the total amount of electricity consumed by the Cruz family over two months is 134 kwh
the amount of electricity used during the second month is 25 kwh less than twice the number of kwh used in the first month.
We can set up an equation using this information:
x + (2x - 25) = 134 kwh
To solve for x, we will first combine like terms on the left side of the equation:
x + 2x - 25 = 134
3x = 159
Then we will divide both sides of the equation by 3:
x = 53
This means that the Cruz family consumed 53 kwh in the first month. We can now use this value to find the amount of electricity consumed in the second month by using the information that it is 25 kwh less than twice the number of kwh used in the first month.
2x -25 = (2*53) - 25 = 106 kwh
Therefore, The Cruz family consumed 53 kwh of electricity in the first month and 106-25 = 81 kwh in the second month.