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nehemiahj8
09.07.2019 •
Mathematics
1.kim's age is four times that of her sister. when you add kim's age to her sister's age, you get 60. how old is each sister (a) write an equation that represents the situation. explain any variable used. (c) solve the equation from part (a). show your work. state your solution as a complete sentence.
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Ответ:
a) Let us assume Kim's sister age = x years.
Kim's age is four times of her sister's age.
4 times of x = 4*x = 4x.
Sum of Kim's age and Her sister's age = 60.
So, we can setup an equation
Kim's age + Sister's age = 60
4x +x = 60.
So, the equation for the situation would be 4x+x =60, where x is the age taken for Kism's sister.
b) We have 4x+x = 60.
First we will combine like terms
4x and x are like terms.
On adding 4x and x, we get 5x.
Therefore , the equation would become
5x = 60.
We are solving eqation for x.
So, dividing both sides by 5, we get
5x/5 =60/5
x= 12.
Therefore, sister's age is 12 years and Kim's age is 4 times of it, that is 4*12= 48 years.
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