Acollection of dimes and quarters is worth 15.25. there are 103 coins in all. how many of each are there

Hii mate__ ^_^
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here's your answer⤵

♦__Let

d = the no of dimes (not the value)

q = the no of quarters (not the value)

since we have 2 unknowns we need 2 equations

 

equations

d + q = 103 

0.10d + 0.25q = 15.25  [the value of the coins times the no of coins equals $15.25]

 

 

d = 103 -q   [solving one equation for d and then substituting it into the other]

 

0.10(103 -q) + 0.25q = 15.25

 

10.3 - 0.10q + 0.25q = 15.25

 

0.15q = 4.95

q = 33 There are 33 quarters.

HOPE IT HELPS!!✌✌✔✔

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