Question 105242: Rafiq pays $1.10 for 3 pencils. He pays with 11 coins including 1 quarter. The rest of the coins are dimes and nickles. Which combination of coins below did Rafiq use including a quarter?
A. 9 nickles, 4 dimes
B. 7 nickles, 5 dimes
C. 5 nickles, 6 dimes
D. 3 nickles, 7 dimes
PLease show me the steps please!!!
Thank you!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Rafiq pays $1.10 for 3 pencils. He pays with 11 coins including 1 quarter. The rest of the coins are dimes and nickles. Which combination of coins below did Rafiq use including a quarter?
A. 9 nickles, 4 dimes
B. 7 nickles, 5 dimes
C. 5 nickles, 6 dimes
D. 3 nickles, 7 dimes
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You have one quarter: value is 25 cents
Let number of nickels be "x" ; value is 5x cents
Number of dimes is 11-1-x = 10-x ; value is 10(10-x)=100-10x cents
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EQUATION:
value + value + value = 110 cents
25 + 5x + 100-10x = 110
-5x = -15
x = 3 (# of nickels)
10-x = 7 (# of dimes)
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Cheers,
Stan H.
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