A piggy bank contains the same number of quarters, nickels, and dimes. The coins total $4.40. How many of each type of coin does the piggy bank contain?
Answers
Answer:
The three-dimensional structure of a double-stranded DNA molecule may be described by distinguishing the helical turns of the DNA duplex from any superhelical turns that might be superimposed upon the duplex turns. ... These results are interpreted as showing that human DNA is supercoiled.
solution : - let number of nickels = x
∴ amount of nickels = $ 1/20 x = $/20
number of dimmes = x + 5
∴ amount of dimes = $ 1/10 (x + 5) = $ (x + 5)/10
number of quarter = 2x
∴ amount of quarter = $ 1/4 (2x) = $ x/2
now, amount of nickels + amount of dimmes + amount of quarter = $ 4.4
⇒ $ x/20 + $ (x + 5)/10 + $ x/2 = $ 4.4
⇒ $ (x + 2x + 10 + 10x)/20 = $ 4.4
⇒ 13x + 10 = 88
⇒13x = 78
⇒ x = 6
hence, number of nickels = x = 6
number of dimmes = x + 5 = 11
number of quarter = 2x = 12
Step-by-step explanation:
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