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# sheila has a total of 32 nickels and dimes worth $2.50. How many nickels does she have? 0 420 4 sheila has a total of 32 nickels and dimes worth$2.50. How many nickels does she have?

Guest Aug 3, 2014

#2
+92174
+5

I have interpreted this question differently.

Sheila has 32 coins all together.  They are all nickels 5c and dimes 10c.  There total value is $250 How many nickels does she have? Let n be the number of nickels and let d be the number of dimes. n+d=32 (1) 5n+10d=250 divide through by 5 n+2d=50 (2) Solve equations 1 and 2 simultaneously. Start with (2)-(1) $$\begin{array}{rlll} n+2d&=&50\quad&(2)\\ \underline{n+d}&=&\underline{32}\quad&(1) Now \;subtract\\ d&=&18} \end{array}\\\\ \begin{array}{rlll} n+18&=&32\;\; therefore\\ n&=&14 \end{array}\\$$ check 14+18=32 and 5*14+10*18=70+180=250=$250    correct

So Sheila has 14 nickels

Melody  Aug 3, 2014
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#1
+4471
+5

I think you meant to put: How many dimes does she have?

Nickels are 5 cents: 32 nickels*0.05 [5 cents] = $1.60$2.50 - $1.60 =$0.90

Dimes are 10 cents: 0.10*9 = $0.90 --> Sheila has 9 dimes. AzizHusain Aug 3, 2014 #2 +92174 +5 Best Answer I have interpreted this question differently. Sheila has 32 coins all together. They are all nickels 5c and dimes 10c. There total value is$250

How many nickels does she have?

Let n be the number of nickels and let d be the number of dimes.

n+d=32      (1)

5n+10d=250    divide through by 5

n+2d=50    (2)

$$\begin{array}{rlll} n+2d&=&50\quad&(2)\\ \underline{n+d}&=&\underline{32}\quad&(1) Now \;subtract\\ d&=&18} \end{array}\\\\ \begin{array}{rlll} n+18&=&32\;\; therefore\\ n&=&14 \end{array}\\$$

check   14+18=32 and  5*14+10*18=70+180=250=\$250    correct

So Sheila has 14 nickels

Melody  Aug 3, 2014
#3
+85614
+3

I think Melody's interpretation is the correct one, but I can see how Aziz might have interpreted it a little differently, too!!!

Punctuation and clarity ARE important........

For instance......

Let's eat, grandmother!!!    ...is different from.......

Let's eat grandmother!!!!

CPhill  Aug 3, 2014
#4
+11847
+3

Good one CPhill!You remembered!?Nice!!

Now you have a proof to show Zegroes and many others who say

FOSSILS DONT HAVE A GOOD MEMORY!

rosala  Aug 3, 2014

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