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A change machine gives change in quarters and dimes if you receive 12 coins after inserting a dollar bill how many quarters did you receive?
Wiki User
∙ 6y ago
A dime = $0.10
A quarter = $0.25
You have received 12 coins as a mixture of dimes and quarters.
The minimum value of those 12 coins is 12 of the smaller denomination coin, ie the 12 dimes:
The sum of 12 dimes is 12 × $0.10 = $1.20
If you replace a dime by a quarter it will create a larger sum as:
you remove $0.10 but add $0.25 giving a difference of -$0.10 + $0.25 = $0.15
→ the change machine is clearly not working correctly. as the sum of the 12 coins must be at least $1.20 and you only inserted a dollar.
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However, if the machine gives change in quarters and nickels, then:
a nickel = $0.05
a quarter = $0.25
12 nickels = 12 × $0.25 = $0.60
Every time a nickel is replaced by a quarter the effect is to subtract $0.05 and add $0.25 to make an overall difference of -$0.05 + $0.25 = $0.20
→ increase the sum by $0.20
$1.00 - $0.60 = $0.40
$0.40 ÷ $0.20 = 2
→ replace 2 nickels by quarters and the total value is $1.00
→ 10 nickels + 2 quarters = 10 × $0.05 + 2 × $0.25 = $0.50 + $0.50 = $1.00
The machine gave you 10 nickels and 2 quarters.
Wiki User
∙ 6y ago
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A change machine changes dollar bills into quarters and nickels If you receive 12 coins after inserting a dollar bill how many quarters did you receive?
2 quarters.
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Zero. The maching gives change in quarters and dimes not nickles.
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4 dollars, 2 quarters, 2 dimes, 3 pennies :) (A+) <3
Carrie goes to Musicville at the mall to buy a DVD How much change would she receive from 20 if the total cost was 15.27?
4 dollars, 2 quarters, 2 dimes, 3 pennies :) (A+) <3
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