How would you convert the repeating, non terminating decimal into a fraction? Explain the process as you solve the problem 0.151
2 answers:
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Answer
• A. Equation: 25(5 + x) = 325
,• B. Answer: 8 dogs
Explanation
Given
• Charge to wash a dog: $25.
• She washed 5 dogs on Saturday and then some more on Sunday.
• She made $325 for the weekend.
Procedure
She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).
Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:
Then, we have to solve for x to know how many dogs did she wash on Sunday.
0. Multiplying the parenthesis
<em>2. Subtracting 125 from both sides of the equation</em>
<em>3. Dividing both sides of the equation against 25</em>