Please I need help on just the set up using a guess and check table.
Karina has some dimes and quarters she has 8 more dimes and quarters and the collection of coins is worth $7.45. How many dimes and quarters does Corona have?
15:7
i need help
To solve this problem using a guess and check table, let's start by setting up the table.
We'll create two columns: one for the number of dimes and one for the number of quarters. We will then fill in the rows with different possible combinations of dimes and quarters, and calculate the total value for each combination.
Let's begin:
Number of Dimes | Number of Quarters | Total Value ($)
-----------------------------------------------------
0 | 0 | 0
1 | 0 | 0.10
2 | 0 | 0.20
3 | 0 | 0.30
... | ... | ...
... | ... | ...
Continue filling in the table, increasing the number of dimes while keeping the number of quarters at zero. Once we reach a total value of $0.80, we can start increasing the number of quarters while keeping the number of dimes constant.
Remember, the goal is to find a combination of dimes and quarters that, when increased by 8, gives a total value of $7.45.
Keep adding rows to the table until you find a combination that satisfies this condition, and then subtract 8 from the number of dimes and quarters to find the initial number of coins Karina has.
To solve this problem, we can set up a guess and check table to find the values for the number of dimes and quarters.
1. Start by assuming a number of dimes. For example, let's guess that Karina has 10 dimes.
2. Calculate the value of the dimes. Since each dime is worth $0.10, 10 dimes would have a value of $1.00.
3. Subtract the value of the dimes from the total value of the collection to find the value of the quarters. In this case, $7.45 - $1.00 = $6.45.
4. Based on the assumption that each quarter is worth $0.25, divide the remaining value ($6.45) by $0.25. This will give you the number of quarters. In this case, $6.45 รท $0.25 = 25.8.
5. Since we cannot have a fraction of a coin, we need to adjust our assumption. Let's round down to the nearest whole number. So now, we assume Karina has 10 dimes and 25 quarters.
6. Calculate the value of the quarters. Since each quarter is worth $0.25, 25 quarters would have a value of $6.25.
7. Add the value of the dimes and quarters to check if it matches the total value of $7.45. In this case, $1.00 + $6.25 = $7.25.
8. Since the assumed values of 10 dimes and 25 quarters do not add up to the total value, we need to adjust our assumptions and repeat the process.
9. Continue this process of adjusting the assumed numbers of dimes and quarters until you find a combination that adds up to $7.45.
Keep in mind that this method involves making educated guesses and checking if the values add up correctly. It may take a few tries before finding the correct combination of dimes and quarters.