5 starfruits and 5 mangoes cost as much as 8 starfruits and 4 mangoes. If 1 starfruit costs $1.80. what is the cost of 5 mangoes?

Let the cost of one mango be $ m $ dollars.

According to the problem, the total cost of 5 starfruits and 5 mangoes is equal to the total cost of 8 starfruits and 4 mangoes. Mathematically, we can express this as:

\[
5 \times 1.80 + 5m = 8 \times 1.80 + 4m
\]

Simplify the equation:

\[
9 + 5m = 14.4 + 4m
\]

Subtract $ 4m $ from both sides:

\[
9 + m = 14.4
\]

Subtract 9 from both sides:

\[
m = 14.4 - 9
\]

\[
m = 5.4
\]

So, the cost of one mango is $ \$5.40 $.

The cost of 5 mangoes is:

\[
5 \times 5.4 = 27
\]

Thus, the cost of 5 mangoes is **\$27.00**.

Would you like further details or have any questions?

Here are some related problems you might be interested in:
1. What if the cost of each starfruit was different?
2. How would the problem change if 10 starfruits and 10 mangoes cost as much as 12 starfruits and 6 mangoes?
3. If the price of a mango decreases by 10%, how does that affect the cost of 5 mangoes?
4. How would you solve the problem if the cost of 1 starfruit was unknown?
5. What if 3 starfruits and 7 mangoes cost as much as 6 starfruits and 3 mangoes?
6. How would this problem be set up if both the cost of starfruits and mangoes were unknown?
7. If the cost of a starfruit increases by 20%, what will be the new cost of 5 mangoes?
8. How can you solve this problem using a system of equations?

**Tip:** When solving word problems, clearly define your variables and translate the problem into an equation before attempting to solve it.

Explore how to calculate the cost of 5 mangoes when given the cost of starfruits and a specific equation. Follow a step-by-step solution with detailed algebraic equations. Suitable for Grades 7-9.

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