Answer :
Sure! Let's go through a detailed, step-by-step solution to the problem:
1. Understanding Cost and Budget:
- Apples cost \[tex]$25 per kilogram.
- Grapes cost \$[/tex]80.50 per kilogram.
- You have a total of \[tex]$1600.00 to spend.
2. Objective:
- You want to buy an equal amount of kilograms of apples and grapes.
- You need to determine how many kilograms of each fruit you can purchase within your budget.
- You also need to find out how much money will be left over after making the purchases.
3. Calculating the Combined Cost per Kilogram:
- The combined cost for 1 kilogram of apples and 1 kilogram of grapes is:
\[
25 + 80.50 = 105.50
\]
4. Determining How Many Kilograms You Can Buy:
- To find out how many kilograms of each fruit you can buy, divide your total money by the combined cost per kilogram:
\[
\text{Kilograms of each} = \frac{1600}{105.50} \approx 15
\]
- So, you can buy 15 kilograms of apples and 15 kilograms of grapes.
5. Calculating the Money Spent:
- The total money spent on buying 15 kilograms of each fruit is:
\[
15 \times 105.50 = 1582.50
\]
6. Calculating the Remaining Money:
- To find out how much money is leftover:
\[
1600 - 1582.50 = 17.50
\]
7. Summary of Results:
- You can buy 15 kilograms of apples.
- You can buy 15 kilograms of grapes.
- After purchasing, you will have \$[/tex]17.50 left.
So, the solution is:
- You can buy 15 kilograms of each fruit (apples and grapes).
- You will be left with \$17.50 after making the purchases.
1. Understanding Cost and Budget:
- Apples cost \[tex]$25 per kilogram.
- Grapes cost \$[/tex]80.50 per kilogram.
- You have a total of \[tex]$1600.00 to spend.
2. Objective:
- You want to buy an equal amount of kilograms of apples and grapes.
- You need to determine how many kilograms of each fruit you can purchase within your budget.
- You also need to find out how much money will be left over after making the purchases.
3. Calculating the Combined Cost per Kilogram:
- The combined cost for 1 kilogram of apples and 1 kilogram of grapes is:
\[
25 + 80.50 = 105.50
\]
4. Determining How Many Kilograms You Can Buy:
- To find out how many kilograms of each fruit you can buy, divide your total money by the combined cost per kilogram:
\[
\text{Kilograms of each} = \frac{1600}{105.50} \approx 15
\]
- So, you can buy 15 kilograms of apples and 15 kilograms of grapes.
5. Calculating the Money Spent:
- The total money spent on buying 15 kilograms of each fruit is:
\[
15 \times 105.50 = 1582.50
\]
6. Calculating the Remaining Money:
- To find out how much money is leftover:
\[
1600 - 1582.50 = 17.50
\]
7. Summary of Results:
- You can buy 15 kilograms of apples.
- You can buy 15 kilograms of grapes.
- After purchasing, you will have \$[/tex]17.50 left.
So, the solution is:
- You can buy 15 kilograms of each fruit (apples and grapes).
- You will be left with \$17.50 after making the purchases.
