Answered

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The piggy bank has 71 dimes and quarters with a
value of 12.35 dollars. How many of each coin are there

Sagot :

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Answer:

35 Quarters and 36 Dimes

Step-by-step explanation:

d + q = 71

10 + 25 = 1235

10 x 36 = 360

25 x 35 = 875

360 + 875 = 1235

Answer:

There are 35 quarters and 36 dimes.

Step-by-step explanation

x = the number of quarters

y = the number of dimes

x + y = 71

0.25x + 0.1y = 12.35 ---> multiply this equation by 100

now...

25x + 10y = 1235

x + y = 71 ----> multiply this equation by -25

25x + 10y = 1235

-25x - 25y = -1775

[tex]\frac{-15}{-15} = \frac{-540}{-15}[/tex]

y = 36 dimes

next step

x + y = 71

x + 36 = 71

   - 36    - 36

x = 35 quarters

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