SOLUTION: A pile of 34 coins is worth $5.10. There are two nickels and the remainder are quarters and dimes. How many quarters and dimes are there?
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Question 1050202
:
A pile of 34 coins is worth $5.10. There are two nickels and the remainder are quarters and dimes. How many quarters and dimes are there?
Answer by
advanced_Learner(501)
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q+d=32
10d+25q=510-10
Solved by
pluggable
solver:
SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*d to the right, we get:
, or
. Substitute that
into another equation:
and simplify: So, we know that d=12. Since
, q=20.
Answer:
.
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