Question

Joel had a coin collection. He had two hundred coins,
which were dimes and quarters. The total value of his
collection was worth $32.
Remember to define your variables.
Create 2 equations
(Each equation should have a "common theme" for
example in this problem one equation will be the the
total number of coins and the other will be the total
value of the coins)
The next step is to solve the problem. Remember to
think of the best method for problem solving

Answer 1

Answer:

Joel's coin collection had 120 dimes and 80 quarters.

Step-by-step explanation:

Given that Joel had a coin collection of two hundred coins, which were dimes and quarters, and the total value was worth $32, to determine how many coins of each type he had, the following equations must be performed:

0.25 - 0.10 = 0.15

200 x 0.10 = 20

32 - 20 = 12

12 / 0.15 = 80

200 - 80 = 120

(80 x 0.25) + (120 x 0.1) = X

20 + 12 = X

32 = X

Therefore, Joel's coin collection had 120 dimes and 80 quarters.