Answer:
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Step-by-step explanation:
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Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Answer:
Step-by-step explanation:
he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25
0.10d + 0.25q = 4.80
he has 6 more dimes then quarters
d = q + 6
====================
d = q + 6...so we sub q + 6 in for d, back into the other equation
0.10(q + 6) + 0.25q = 4.80
0.10q + 0.60 + 0.25q = 4.80
0.35q = 4.80 - 0.60
0.35q = 4.20
q = 4.20 / 0.35
q = 12 <====== there is 12 quarters
d = q + 6
d = 12 + 6
d = 18 <===== there is 18 dimes
