Vani has some nickels and some dimes. She has a minimum of 17 coins worth no more than $1.40 combined. If Vani has 9 nickels, determine all possible values for the number of dimes that she could have. right answer only
Let's start by determining the value of the nickels. Since Vani has 9 nickels and each nickel is worth $0.05, the total value of the nickels is 9 * $0.05 = $<<9*0.05=0.45>>0.45.
Let's represent the number of dimes as "d." Each dime is worth $0.10.
Therefore, the total value of the dimes is d * $0.10 = $0.10d.
The total value of all the coins is $1.40. So we have the equation:
$0.45 + $0.10d = $1.40
To solve this equation, we need to isolate "d." By subtracting $0.45 from both sides, we get:
$0.10d = $1.40 - $0.45
$0.10d = $0.95
Now, divide both sides of the equation by $0.10 to solve for "d":
d = $0.95 / $0.10
d = 9.5
Since the number of dimes must be a whole number, d = 10.
Therefore, the only possible value for the number of dimes that Vani could have is 10.