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

Answer:

$0.45 + 0.25q = 3.70$

Step-by-step 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 = $9 \times 0.05 = \ 0.45$

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, $q$:

$0.45 + 0.25q = 3.70$