Answer:they collected 1020 dimes, 340 quarters, 1031 nickels and 2062 pennies.
Step-by-step explanation:
Let d represent the number of dimes that they collected.
Let q represent the number of quarters that they collected.
Let n represent the number of nickels that they collected.
Let p represent the number of pennies that they collected.
They have collected three times as many dimes as quarters. It means that
d = 3q
q = d/3
The collected 11 more nickels than dimes. It means that
n = 11 + d
They collected 2 times as many pennies as nickels. It means that
p = 2n
p = 2(11 + d)
p = 22 + 2d
If they have collected a total of 4453 coins, it means that
p + q + d + n = 4453 - - - - - - - - - -1
Substituting q = d/3, n = 11 + d and
p = 22 + d into equation 1, it becomes
22+ 2d + d/3 + d + 11 + d = 4453
66 + 6d + 6d + d + 33 = 13359
13d = 13359- 99
13d = 13260
d = 13260/13
d = 1020
q = d/3 = 1020/3
q = 340
n = 11 + d = 11 + 1020
n = 1031
p = 22 + 2d = 22 + 2 × 1020
p = 2062
