SOLUTION: Rita has 21 coins which are all dimes and quarters. If the value of the quarters is 35 cents more than the value of the dimes, how many dimes does Rita have? Please answer as soon
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Question 800832: Rita has 21 coins which are all dimes and quarters. If the value of the quarters is 35 cents more than the value of the dimes, how many dimes does Rita have? Please answer as soon as possible Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Rita has 21 coins which are all dimes and quarters. If the value of the quarters is 35 cents more than the value of the dimes, how many dimes does Rita have? Please answer as soon as possible
dimes =x
quarters = y
x+y=21.....................(1)
10x+35=25y
10x-25y=-35
/5
2x-5y=-7.................(2)
1 x + 1 y = 21 .............1
Total value
2 x -5 y = -7 .............2
Eliminate y
multiply (1)by 5
Multiply (2) by 1
5 x 5 y = 105
2 x -5 y = -7
Add the two equations
7 x = 98
/ 7
x = 14
plug value of x in (1)
1 x + 1 y = 21
14 + y = 21
y = 21 -14
y = 7
y = 7
x= 14 Number of dimes
y= 7 Number of quarters
m.ananth@hotmail.ca
