Bread Margarine Prices 281821
1. **State the problem:**
Akosua bought 5 loaves of bread and 3 sachets of margarine for a total of 8.
A few days later, she bought 2 loaves of bread and 6 sachets of margarine for a total of 5.60.
We need to find the price of one loaf of bread and one sachet of margarine.
2. **Set variables:**
Let $b$ be the price of one loaf of bread.
Let $m$ be the price of one sachet of margarine.
3. **Write the system of equations:**
From the first purchase:
$$5b + 3m = 8$$
From the second purchase:
$$2b + 6m = 5.60$$
4. **Solve the system:**
Multiply the second equation by 5 to align bread coefficients:
$$10b + 30m = 28$$
Multiply the first equation by 2:
$$10b + 6m = 16$$
5. **Subtract the second from the first:**
$$(10b + 30m) - (10b + 6m) = 28 - 16$$
$$24m = 12$$
$$m = \frac{12}{24} = 0.5$$
6. **Find $b$ by substituting $m=0.5$ into first equation:**
$$5b + 3(0.5) = 8$$
$$5b + 1.5 = 8$$
$$5b = 8 - 1.5 = 6.5$$
$$b = \frac{6.5}{5} = 1.3$$
7. **Answer:**
Price of one loaf of bread is $1.3$ and one sachet of margarine is $0.5$.
8. **Check options:**
None of the options exactly match $1.3$ or $0.5$, but the closest is $1.80$ which is not correct.
Therefore, the exact prices are:
- Bread: $1.3$
- Margarine: $0.5$