Question

Ferrell has 9 nickels and some quarters in his pocket. The value of his coins is $3.70. Which equation can be used to find the number of quarters, q, Farrell has in his pocket?

Answer 1

`0.45 + 0.25q = 3.70`

Explanation:

Given that:

Number of nickels with Ferrell = 9

Number of quarters =
`q`

Value of coins = $3.70

To find:

The equation to find the number of quarters.

Solution:

Value of a nickel = 5 quarters = $0.05

Value of 9 nickels =
`9 * 0.05 = \$ 0.45`

Value of a quarter = $0.25

Value of
`q` quarters = $0.25
`q`

Total value of coins = Value of 9 nickels + Value of
`q` quarters
`\$0.45 + \$0.25q = \$3.70\\\Rightarrow 0.25q=3.70-0.45\\\Rightarrow 0.25q=3.25\\\Rightarrow q =13`

So, the answer is, number of quarters available with Ferrell = 13

The equation to be used to find the number of quarters,
`q`:

`0.45 + 0.25q = 3.70`