SOLUTION: write the expression as a equation Jody has 2 more nickels than pennies, and she has 30 coins all together

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Question 1204685: write the expression as a equation Jody has 2 more nickels than pennies, and she has 30 coins all together
Found 4 solutions by MathLover1, ikleyn, greenestamps, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
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let the number of nickels be n and the number of pennies p

if Jody has 2 more nickels than pennies, we have
n=p%2B2....eq.1


and if she has 30 coins all together, we have
n%2Bp=30
n=30-p...eq.2

from eq.1 and eq.2 we have
p%2B2=30-p
p%2Bp=30-2
2p=28
p=14

then
n=14%2B2....eq.1
n=16

answer: Jody has 16 nickels and 14 pennies



Answer by ikleyn(52785) About Me  (Show Source):
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.
write the expression as a equation Jody has 2 more nickels than pennies, and she has 30 coins all together
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        In this context,  write one word   highlight%28highlight%28altogether%29%29   instead of two separate words   all together.


Let N be the number of nickels

and let P be the number of pennies.



Write equations as you read the problem

    N - P =  2     (1)    "2 more nickels than pennies"

    N + P = 30     (2)    "30 coins altogether"


Since you ask about writing equations, at this point I completed my answer.

--------------------

Memorize this instruction  " Write equations as you read the problem ".

These words are   MAGIC.   They will help you to write system of equations
in many other problems in your life.


        Always write equations as you read the problem.

            If you do not know how to write equations,  read the problem again.

                Do it until the problem will itself tell you how to write equations.


In real life,  nobody will help you,  until you find your own right way.


!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


For your information

            ALTOGETHER - - - meaning   (from a dictionary)

completely;  totally.

including everything or everyone;  in total.

taking everything into consideration;  on the whole.


            ALL TOGETHER - - - meaning   (from a dictionary)

all in one place or in a group;  all at once.


Notice that the dictionary interpretation of  " altogether "  is different from that of @greenestamps

(has nothing in common).



Answer by greenestamps(13200) About Me  (Show Source):
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A couple of comments about the response from tutor @ikleyn....

Actually, "all together" is better English than "altogether", although many native English speakers will use "altogether".

The formal meaning of "altogether" is different -- as in "now you are talking about something altogether different".

And for "2 more nickels than pennies", the most direct translation into an algebraic equation is n = p+2. The equation n-p=2 that she uses is equivalent; but it doesn't directly translate the words as they are given.

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The comment from tutor @ikleyn about my comment regarding "altogether" and "all together" clearly demonstrates her character: she believes she is never wrong about anything.

If you read the things she writes, it is obvious that it is ludicrous for her to be teaching what is proper English.

If you rearrange the statement "she has 30 coins all together" to read "all together, she has 30 coins", then it is clear that "all together" is correct.

I tried to make my comment as pleasant as possible, stating that "all together" was BETTER English than "altogether", but with her omniscient attitude, she had to claim that MY English was incorrect.

So pitiful and sad....


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p pennies
p+2 nickels

p%2Bp%2B2=30--------an EQUATION.

Just as good, 2p%2B2=30.