1. Jack and Betty have 40 coins that are nickels and dimes. If the value of
1 answer:
Answer:
Number of nickels = 17
Number of dimes = 23
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
x + y = 40 (1)
0.05x + 0.10y = 3.15 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.05x + 0.10y = 3.15 (2)
0.05(40 - y) + 0.10y = 3.15
2 - 0.05y + 0.10y = 3.15
- 0.05y + 0.10y = 3.15 - 2
0.05y = 1.15
y = 1.15/0.05
y = 23
Substitute y = 23 into (1)
x + y = 40 (1)
x + 23 = 40
x = 40 - 23
x = 17
Number of nickels = 17
Number of dimes = 23
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