Kelsey has 6 coins. 1/3 of her coins are dimes. The value of the dimes is one-fourth the value of the coins. How much money does Kelsey have?
so 1/3 of 6 coins is 2. so all together the dimes are 20 cents. so 20 times 4 is 80. Kelsey has 80 cents.
So Kelsey obviously has 2 dimes worth 20 cents. (1/3 of 6 is 2)
This 20 is 1/4 the value of all the coins, so the value of all the coins must be 80 cents,
so Kelsey has 80 cents.
This is actually the end of the question, but it is fun to keep going.
The remaining 4 coins must be worth 40 cents.
since there can't be any more dimes, or else they would have been counted in the above, the remaining 40 cents must be in quarters and nickels,
How about 1 quarter and 3 nickels?
To find out how much money Kelsey has, we first need to determine the number of dimes she has.
Given that 1/3 of her coins are dimes, we can calculate:
Number of dimes = (1/3) * 6 coins = 2 dimes
Now that we know Kelsey has 2 dimes, we can find out the value of these dimes.
Given that the value of the dimes is one-fourth the value of the coins, we can calculate:
Value of dimes = (1/4) * Value of coins
Since we don't know the value of the coins, let's assume that each dime is worth $X. Then the value of the dimes would be:
Value of dimes = 2 dimes * $X = $2X
According to the information given, the value of the dimes is one-fourth the value of the coins. So we have the equation:
$2X = (1/4) * Value of coins
Since we already know that Kelsey has 6 coins, we can calculate the value of the coins:
Value of coins = 6 coins * $X = $6X
Now, let's substitute this value back into our equation:
$2X = (1/4) * $6X
To solve for X and find the value of each dime, we can divide both sides of the equation by $6:
$2X / $6 = (1/4) * $6X / $6
Simplifying this equation gives us:
(1/3)X = (1/4)X
To get rid of the denominators, we can multiply both sides of the equation by 12 (the least common multiple of 3 and 4):
12 * (1/3)X = 12 * (1/4)X
4X = 3X
Now, if both sides of the equation are equal, that means X can be any value. Therefore, the value of each dime could be any amount.
As a result, we cannot determine the exact value of Kelsey's coins or how much money she has based on the given information.