Grandpa has twenty - four coins in his pocket . grandpa gives Sam some clues the total value of the coins in his pocket one - sixth of coins are quarters , one - half of coins in dimes . what is the total value of the coins in grandpa 's pocket that Sam should discover? Please help this is homework due tomorrow.
Ms sue?
The only clues I see are:
24 coins
1/6 * 24 = 4 quarters
1/2 * 24 = 12 dimes
I can't find the total value with only that information.
2.88
To find the total value of the coins in Grandpa's pocket, we need to determine how many of each coin he has.
Let's go step by step:
1. First, let's find out how many quarters Grandpa has. We know that one-sixth of the coins are quarters. Since he has 24 coins in total, we divide 24 by 6 to find how many quarters he has: 24 / 6 = 4 quarters.
2. Next, let's determine how many dimes Grandpa has. We know that half of the coins are dimes. Half of 24 is 12, so Grandpa has 12 dimes.
Now that we know the number of quarters and dimes, we can calculate their total value.
3. The value of a quarter is 25 cents, so the total value of the quarters is 4 quarters * 25 cents/quarter = 100 cents.
4. The value of a dime is 10 cents, so the total value of the dimes is 12 dimes * 10 cents/dime = 120 cents.
5. Finally, to find the total value of all the coins, we add the values of the quarters and dimes: 100 cents + 120 cents = 220 cents.
Therefore, the total value of the coins in Grandpa's pocket is 220 cents (or $2.20).
Remember, it's always important to break down the problem step by step, applying the given clues to find the solution.