Kelsea has 6 coins. One-third of her coins are dimes. The value of the dimes is one-fourth the value of the coins. How much money does Kelsea have?
if 1/3 of the coins are dimes than we must have 2 dimes which = 20 cents
so the value of the dimes is 1/4 the value of the other coins
20 cents = 1/4 (the other coins)
so the other coins must be worth 80 cents
So.. how much money does Kelsea have?
H
She has one dollar
$1.00
To determine how much money Kelsea has, we first need to find out how many of her coins are dimes.
Step 1: Calculate one-third of Kelsea's total coins.
Kelsea has 6 coins, so one-third of her coins is (1/3) * 6 = 2 coins.
Step 2: Calculate the value of the dimes.
The value of the dimes is one-fourth of the value of all the coins.
Since the dimes make up two-thirds of the total number of coins (6 coins), the value of the dimes is (2/6) * (1/4) = 1/12 of the total value.
Step 3: Determine the value of each coin.
If the dimes account for 1/12 of the total value, then each dime has 1/12 of the total value.
Since Kelsea has 2 dimes, the total value of the dimes is 2 * (1/12) = 1/6 of the total value.
Step 4: Calculate the total value of Kelsea's coins.
Since the dimes account for 1/6 of the total value, the remaining 5/6 of the total value must come from the rest of Kelsea's coins.
Therefore, the total value of Kelsea's coins is 5/6 + 1/6 = 6/6 = 1, which means Kelsea has $1.
Therefore, Kelsea has $1.