Question

) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a

system of equations to determine the number of dimes and quarters if they have 25 coins worth $4.00
in total. Then solve the system using the best method for the situation.

Answer 1

Quarters = 10

Dimes = 15

Explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions