SOLUTION: Marvin save dimes and quarters in his piggy bank to buy gift for his mother. He counted his savings and organized the information in a table. dime =x quarter = x-12 if he save

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Question 1064922: Marvin save dimes and quarters in his piggy bank to buy gift for his mother. He counted his savings and organized the information in a table.
dime =x
quarter = x-12
if he saved $11.00 how many dimes and quarter idd marvin have?
Found 2 solutions by josmiceli, ITech2018:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
He saved +x dimes and +x+-+12+ quarters
+10x+%2B+25%2A%28+x+-+12+%29+=+1100+ ( in cents )
+10x+%2B+25x+-+300+=+1100+
+35x+=+1400+
+x+=+40+
and
+x+-+12+=+40+-+12+
+x+-+12+=+28+
-------------------------
Marvin had 40 dimes and 28 quarters
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check:
+10x+%2B+25%2A%28+x+-+12+%29+=+1100+
+10%2A40+%2B+25%2A28+=+1100+
+400+%2B+700+=+1100+
+1100+=+1100+
OK

Answer by ITech2018(2) About Me  (Show Source):
You can put this solution on YOUR website!
Since your variables have already been established, make a table to define the terms that are given to you:



# of Coins Centsper coin Total
Dimes X 10 10X
Quarters X-12 25 25(x-12)
Totals 1100

Then solve:
10x + 25(x-12) = 1100
10x +25x -300 = 1100
35x = 1400
x=40
Therefore, since X = #of dimes, he had 40 dimes, which 40 * .10 = $4.00 in dimes
Then to solve for quarters, you must plug in the amount for X that you got in the first problem:
X - 12 =
40 - 12 = 28; therefore, he had 28 quarters totaling $7.00
Then $4.00 + $7.00 = $11.00