SOLUTION: Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
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Question 49368
:
Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
Answer by
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number of $5 bills = x
number of $10 bills = y
We conclude that:
value of $5 bills = 5x
value of $10 bills = 10y
Therefore:
Solved by
pluggable
solver:
SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 10*y to the right, we get:
, or
. Substitute that
into another equation:
and simplify: So, we know that y=8. Since
, x=4.
Answer:
.
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