SOLUTION: a collection of 130 coins of quarters and dimes.each coin is worth 4 times its face value, collection is worth $94.00 How many of each type of coin?
Question 324398: a collection of 130 coins of quarters and dimes.each coin is worth 4 times its face value, collection is worth $94.00 How many of each type of coin? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a collection of 130 coins of quarters and dimes.
each coin is worth 4 times its face value, collection is worth $94.00
How many of each type of coin?
:
Let x = no. of quarters
then, since there are 130 coins,
(130-x) = no. of dimes
:
multiplying the face values by 4, we have:
.4(130-x) + 1.00(x) = 94
52 - .4x + 1.0x = 94
x - .4x = 94 - 52
.6x = 42
x =
x = 70 quarters
and
130 - 70 = 60 dimes
;
:
Check solution: 4[.10(60) + .25(70)] = $94
