Question

Kevin and Randy Muiso have a jar containing 61 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $12.05. How many of oach type of coin do they have? The jar contains iguarters

Answer 1

They have 45 quarters and 16 nickels.

Explanation:

Let x be the number of quarters and y be the number of nickels in the jar,

Since, the jar contains 61 coins,

⇒ x + y = 61 ------(1)

Also, 1 quart = $ 0.25 and 1 nickel = $ 0.05,

So, the total cost = ( 0.25x + 0.05y ) dollars,

According to the question,

0.25x + 0.05y = 12.05,

⇒ 25x + 5y = 1205 -----(2),

Equation (2) - 5 × Equation (1),

20x = 1205 - 305

20x = 900

⇒ x = 45,

From equation (1)m,

y = 61 - 45 = 16,

Hence, they have 45 quarters and 16 nickels.