SOLUTION: A family has a coin jar that is now full. The children count the change and calculate the total value to be $33.16. Let Q represent the number of quarters and use the information b
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Question 567244: A family has a coin jar that is now full. The children count the change and calculate the total value to be $33.16. Let Q represent the number of quarters and use the information below to find the number of each coin.
There are:
131 more dimes than quarters
7 times as many nickels as quarters
5 more than 17 times as many pennies as quarters
How many quarters, nickles, dimes, and pennies are there?
Found 2 solutions by lwsshak3, mananth:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A family has a coin jar that is now full. The children count the change and calculate the total value to be $33.16. Let Q represent the number of quarters and use the information below to find the number of each coin.
There are:
131 more dimes than quarters
7 times as many nickels as quarters
5 more than 17 times as many pennies as quarters
How many quarters, nickles, dimes, and pennies are there?
let x=number of quarters
x+131=number of dimes
7x=number of nickels
17x+5=number of pennies
..
.25x+.10(x+131)+.05(7x)+.01(17x+5)=33.16
.25x+.1x+13.1+.35x+.17x+.05=33.16
.25x+.1x+13.1+.35x+.17x+.05=33.16
.87x+13.15=33.16
.87x=33.16-13.15=20.01
x=20.01/.87=23
ans:
number of quarters=x=23
number of dimes=x+131=154
number of nickels=7x=161
number of pennies=17x+5=396
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Q= quarters
131 more dimes than quarters
7 times as many nickels as quarters
5 more than 17 times as many pennies as quarters
Number of coins
Q= quarters
Q+131= dimes
7Q= nickels
17Q+5 pennies
25Q+10(Q+131)+1(17Q+5)=3316 cents
25Q+10Q+1310+35q+17Q+5=3316
87Q+1315=3316
87Q=2001
Q=23
dimes = 131+23=154
Nickels= 7*23=161
pennies= 17*23+5 = 396
CHECK
(1*396) + (161 * 5) + (154 * 10) + (25 * 23) = 3 316= $33.16
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