im in grade 7 and ihave amath question
wallet a contains 36 coins of quarters and loonies in the ratio 2:7
Wallet b contains 36 coins of quarters and loonies in the ratio 1:3
Wallet c contains 36 coins of quarters and loonies in the ratio 1:5
which walllet has the greatest amount of money
do i need to compare the ratios to find the greatest one?????
Compare ratios, but be careful. The most amount of money is the one with the fewest quarters compared to loonies. Which do you think that is?
To determine which wallet has the greatest amount of money, comparing the ratios alone may not be sufficient. The ratios only give you the proportion of quarters to loonies in each wallet, but not the specific values of quarters and loonies.
To find the answer, you need to calculate the total value in each wallet by considering the value of each coin.
Here's how you can do it:
1. Determine the value of each coin:
- A quarter is worth $0.25.
- A loonie is worth $1.00.
2. Calculate the total value in each wallet:
- Wallet A:
Since Wallet A contains 36 coins in the ratio 2:7, the total number of coins can be calculated as follows:
Quarters: (2 / (2 + 7)) * 36 = 8 coins
Loonies: (7 / (2 + 7)) * 36 = 28 coins
Total value: (8 * 0.25) + (28 * 1.00) = $23.00
- Wallet B:
Similarly, Wallet B contains 36 coins in the ratio 1:3:
Quarters: (1 / (1 + 3)) * 36 = 9 coins
Loonies: (3 / (1 + 3)) * 36 = 27 coins
Total value: (9 * 0.25) + (27 * 1.00) = $21.75
- Wallet C:
Wallet C contains 36 coins in the ratio 1:5:
Quarters: (1 / (1 + 5)) * 36 = 6 coins
Loonies: (5 / (1 + 5)) * 36 = 30 coins
Total value: (6 * 0.25) + (30 * 1.00) = $25.50
3. Compare the total values:
- Wallet A: $23.00
- Wallet B: $21.75
- Wallet C: $25.50
From the calculations, Wallet C has the greatest amount of money with a total value of $25.50.
So, to answer your question, yes, you need to compare the total values of each wallet to determine which one has the greatest amount of money.