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Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65 how many of each type of coin does she have?
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Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65 how many of each type of coin does she have?
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Mathematics
3 years
2021-08-11T05:57:02+00:00
2021-08-11T05:57:02+00:00 2 Answers
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Answers ( )
Answer:
She has 23 nickels and 5 dimes.
Step-by-step explanation:
Let n = the number of nickles and d = the number of dimes.
The number of each = 28. Set up the equation:
n + d = 28
Solve for n:
n = 28 – d
The total amount is $1.65 or 165 cents:
5n + 10d = 165
Substitute:
5(28 – d) + 10d = 165
140 – 5d + 10d = 165
140 + 5d = 165
5d = 165 – 140
5d = 25
d = 5, the number of dimes.
Solve for n:
n = 28 – d
n = 28 – 5 = 23, the number of nickles.
Proof:
5n + 10d = 165
5(23) + 10(5) = 165
115 + 50 = 165
165 = 165
Hope this Helps! Have an Awesome Day!!! <3
Step-by-step explanation:
Answer:
Sofia has 23 nickles & 5 dimes
Step-by-step explanation:
The number of each is 28
Form an equation:
Solve for n:
The total amount is $1.65 for 165 cents:
Substitute:
Solve for n:
CHECK:
hope this helps….