Angelina has a collection of Nickles and dimes worth 4.65 . If she has 70 nickles and dimes , how many of each does she have ?
2 answers:
23 dimes and 47 nickels 23+47=70
4.65=465cents
23 dimes=230 cents
47nickels=235cents
230+235=465cents
System of equations (yay) x=nickels y=dimes
1st x+y=70
2nd .5x+.10y=4.65
3rd Move decimal (multiply everything by 100) : 5x=10y=465
x+y=70
-x -x
y=70-x
(Substitute) 5x+10(70-x)= 465
(Distribute) 5x+700-10x=465
(Solve equation) -5x=-235 >>> x=47 >>>
Answer- 47 dimes and 23 nickels
Please let me know if I need to explain further (:
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