Let's address the math problem step-by-step to ensure clarity and understanding.
Problem: Someone has a certain amount of money. They buy a specific number of bagels, each costing a certain amount. We need to determine how much money is spent on the bagels and how much is left after the purchase.
1. Initial Amount of Money:
The individual starts with 23 units of currency. Let's denote this amount as [tex]\( M_i \)[/tex].
[tex]\[
M_i = 23
\][/tex]
2. Details of the Purchase:
- Number of bagels bought: 5.
- Cost per bagel: 3 units of currency.
Let:
- [tex]\( b \)[/tex] represent the number of bagels.
- [tex]\( c \)[/tex] represent the cost per bagel.
Therefore:
[tex]\[
b = 5, \quad c = 3
\][/tex]
3. Calculating Money Spent:
The amount of money spent on the bagels is the product of the number of bagels and the cost per bagel.
[tex]\[
M_s = b \times c
\][/tex]
Substituting the known values:
[tex]\[
M_s = 5 \times 3 = 15
\][/tex]
So, the money spent on bagels is 15 units of currency.
4. Calculating Money Left:
The amount of money left after purchasing the bagels can be found by subtracting the money spent from the initial amount:
[tex]\[
M_l = M_i - M_s
\][/tex]
Substituting the known values:
[tex]\[
M_l = 23 - 15 = 8
\][/tex]
So, the money left after the purchase is 8 units of currency.
Summary:
- Money spent on bagels: 15 units of currency.
- Money left after purchasing the bagels: 8 units of currency.
By following these steps, we clearly identify how much money was spent and how much remains after the transaction.
