You can
put this solution on YOUR website!A purse contains a collection of quarters, dimes, nickels,and pennies.
The average value of the coins in the purse is 18 cents. If a penny is removed
from the purse, the average value is .19. Find how many nickels are there?
:
Let x = total value of the coins
Let y = no. of coins
:
= .18
Or
x = .18y
then, when penny removed
= .19
Substitute .18y for x:
= .19
.18y - .01 = .19(y-1)
:
.18y - .01 = .19y - .19
:
+.19 - .01 = .19y - .18y
:
.18 = .01y
y = .18/.01
y = 18 coins
Find x
x = .18(18)
x = $3.24 total value
:
Check this:
= .19 (one penny removed)
:
Actually I don't think there will be any nickels.
:
In order to get this amt with 18 coins we must have:
12 quart = 3.00
2 dimes = 0.20
4 pennies =.04
----------------
18 coins = $3.24
