Zachary saved x nickels and y dimes last month. Lily saved x nickels and 2y dimes. Lily saved $2 more than Zachary and the total number of her dimes is 4 times the total number of her nickels.

(a) How much coins does Zachary have?
(b) How much did Lily save?
(c) How much did Zachary save?

5x + 10y + 200 = 5x + 20y

2y = 4x
y = 2x

5x + 20y + 200 = 5x + 40x
200 = 20x
x = 10

Zach saved 10 nickels and 20 dimes for $2.50

Lily saved 10 nickels and 40 dimes = $4.50

25x^3-55^-60=

To solve this problem, let's express the given information in equations:

Let's assume the value of a nickel is 5 cents, and the value of a dime is 10 cents.

(a) Let's find out how many coins Zachary has:
Zachary saved x nickels and y dimes last month.
The total value of Zachary's nickels is 5x cents.
The total value of Zachary's dimes is 10y cents.

(b) Now let's find out how much Lily saved:
Lily saved x nickels and 2y dimes last month.
The total value of Lily's nickels is 5x cents.
The total value of Lily's dimes is 10(2y), which is 20y cents.

Lily saved $2 more than Zachary, so we can write the equation:
20y + 5x = 5x + 10y + 200

(c) Now let's find out how much Zachary saved:
Since the equation in part (b) simplifies to 15y + 10 = 15y + 200
Subtracting 15y from both sides gives us 10 = 200, which is not possible.
This indicates that the given information is not consistent and does not have a valid solution.

Therefore, we cannot determine the values for (a) and (c).

To solve this problem, we need to create a system of equations based on the given information. Let's start:

(a) To find how many coins Zachary has, we need to determine the values of x (nickels) and y (dimes).

(b) To find how much Lily saved, we need to determine the values of x (nickels) and y (dimes).

(c) To find how much Zachary saved, we need to determine the values of x (nickels) and y (dimes).

From the given information, we have the following equations:

1. Lily saved $2 more than Zachary, which gives us the equation:
Lily's total savings = Zachary's total savings + $2

2. The total number of Lily's dimes (2y) is 4 times the total number of her nickels (x), which gives us the equation:
2y = 4x

Now, let's solve the equations:

(a) To find how many coins Zachary has, we need to use equation 1 to find Lily's total savings and then subtract $2 from it to find Zachary's total savings.

(b) To find how much Lily saved, we need to use equation 1.

(c) To find how much Zachary saved, we need to use equation 1 and subtract $2 from Lily's total savings.

Let's solve the equations step by step:

Step 1: Substitute 4x for 2y in equation 1:
Lily's total savings = Zachary's total savings + $2
x (nickels) + 2y (dimes) = x (nickels) + y (dimes) + $2

Step 2: Simplify the equation:
x + 2y = x + y + $2

Step 3: Cancel out x on both sides:
2y = y + $2

Step 4: Move y to the right side:
2y - y = $2
y = $2

Step 5: Substitute the value of y into equation 2 to find x:
2(2) = 4x
4 = 4x

Step 6: Cancel out 4 on both sides:
x = 1

(a) Zachary has 1 nickel and 2 dimes. Therefore, he has 1 + 2 = 3 coins.

(b) Lily has 1 nickel and 2(2) = 4 dimes. Therefore, she has 1 + 4 = 5 coins.

(c) Zachary saved x nickels and y dimes, which is equal to 1 nickel and 2 dimes. Therefore, he saved a total of $0.05 + $0.10 + $0.10 = $0.25.