A charity organization is collecting change to raise money. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels.

let's say x represents quarters write an algebraic expression to represent the number of quarters, dimes, nickels, and pennies collected.
If they have collected a total of 2134 coins, how many of each coin have they collected?

Q = 2d

N = d + 22
p = 3N

Q + d + N + p = 2d + d + (d+22) + 3(d+22) = 2134

Solve for d, then the other coins.