Rachel solved 50 problems of her Homework correctly and scored 62.5%. How many problems were there in the Homework?
2 answers:
Answer:
There were 80 questions in her home work.
Step-by-step explanation:
Let there were x problems in Rachel's homework.
Rachel solved 50 problems and scored 62.5%
Therefore, total equation that models this situation will be
Solved questions = Total question × percent scored
50 = (62.5%) of x
50 =
x =
x =
x = 80
Therefore, total number of questions in her homework were 80.
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You can make some algebraic equations and solve it.
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The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.