Aiden spends a total of $ 10 for apples and bananas. The apples cost $ 1 . 70 per pound, and the bananas cost 60 cents per pound. Which equation represents the number of pounds of apples, a , and bananas, b , Aiden could have bought?

To represent the situation with an equation, let's break down the problem:

- The cost of apples is $1.70 per pound, and Aiden buys $ a $ pounds of apples.
- The cost of bananas is $0.60 per pound, and Aiden buys $ b $ pounds of bananas.
- Aiden spends a total of $10 on both apples and bananas.

The total cost for the apples is $ 1.70a $ dollars, and the total cost for the bananas is $ 0.60b $ dollars. Therefore, the equation representing the situation is:

\[
1.70a + 0.60b = 10
\]

This equation shows the relationship between the number of pounds of apples $ a $, the number of pounds of bananas $ b $, and the total cost of $10.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How many pounds of apples could Aiden buy if he spent all $10 on apples?
2. How many pounds of bananas could Aiden buy if he spent all $10 on bananas?
3. If Aiden bought 3 pounds of apples, how many pounds of bananas could he buy with the remaining money?
4. What would the equation look like if the prices of apples and bananas were swapped?
5. How much would Aiden have spent if he bought 2 pounds of apples and 4 pounds of bananas?

**Tip:** When setting up equations from word problems, always identify the variables and their coefficients clearly before forming the equation.

Explore how to solve the equation representing Aiden's spending on apples and bananas. Understand the relationship between pounds of apples, pounds of bananas, and the total cost of $10. Suitable for Grades 7-9.

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