Question

A family has a coin jar that is now full. The children count the change and calculate the total value to be $29.42. Let Q represent the number of quarters and use the information below to find the number of each coin.

There are:
138 more dimes than quarters
2 times as many nickels as quarters
28 more than 14 times as many pennies as quarters

In the jar there was:

Quarters,

dimes,

nickels, and

pennie

Answer 1

looks like everything is referenced in terms of quarters, so start with :

let the number of quarters be x
dimes ---- x+138
nickels ---- 2x
pennies ---- 14x + 28

Now that you have the NUMBER of coins defined, we go for the VALUE of those coins

25x + 10(x+138) + 5(2x) + 1(14x+28) = 2942

I am sure you can finish that

Answer 2

wow thank you so much!!