SOLUTION: Hi Please help to form a algebric expression. there were one fourth as many homework assignment in math class as there were in science. how many homework assignment are there in

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Question 1147679: Hi
Please help to form a algebric expression.
there were one fourth as many homework assignment in math class as there were in science. how many homework assignment are there in math class? there was twice as much english homework than the sum of all the science and math homework, how many homework assignments are there in english class?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of homework assignments in math class = +y+
Let the number of homework assignments in science class = +x+
+y+=+%281%2F4%29%2Ax+
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Let the number of homework assignments in English class = +z+
+z+=+2%2A%28+x+%2B+y+%29+
You can plug in the first equation to find +y+
+z+=+2%2A%28+x+%2B+%281%2F4%29%2Ax+%29+
+z+=+2%2A%28+5%2F4%29%2Ax+
+z+=+%285%2F2%29%2Ax+
This is an equation with 2 variables instead of 3
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Get another opinion if needed

Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
.

1.   There were one fourth as many homework assignment in math class as there were in science.
      How many homework assignment are there in math class? 


    Let M be the number of homework assignment in math class, and 

    let S be the number of assignments in Science. 


    Then   M = %281%2F4%29%2AS.


    It is the literal translation of English to Math.



2.   There was twice as much english homework than the sum of all the science and math homework,
      how many homework assignments are there in english class? 


    This sentence is INCORRECT from the point of view of English grammar.


    The correct sentence is THIS (my editing) :


        There was twice as much English homework highlight%28cross%28than%29%29 as the sum of all the Science 
        and Math homework. How many homework assignments are there in English class?


    The answer is

        E = 2*(S + M),

    using obvious designations.