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Suppose you have $6.00 to buy bananas and apples. Bananas cost $0.49 per pound, and apples cost $0.34 per pound.

1. Write a linear equation that represents the different amounts of fruit you could buy.
2. If you buy 10 pounds of bananas, how many pounds of apples would it be possible to buy?

Answer :

Final answer:

A linear equation is written to represent the cost of buying different amounts of fruit. If one buys 10 pounds of bananas, they could also afford to buy approximately 3.24 pounds of apples.

Explanation:

The esential first step here is to write a linear equation that can represent the different amounts of fruits you could buy. Let's denote the pounds of bananas and apples as b and a respectively. The cost per pound of bananas and apples can be represented as 0.49b and 0.34a respectively. The total cost is $6.00. Hence the equation becomes:

0.49b + 0.34a = 6.00

With this equation, we can calculate the possible pounds of apples you could buy with 10 pounds of bananas. Substitute b = 10 into the equation:

0.49(10) + 0.34a = 6.00

4.9 + 0.34a = 6.00

By subtracting 4.9 from both sides of the equation and then dividing by 0.34, we can solve for a:

a ≈ 3.24

Therefore, with 10 pounds of bananas, it would be possible to buy approximately 3.24 pounds of apples with the remaining amount of money.

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Rewritten by : Barada

X= pounds of apples
0.34x+0.49(10)=6
0.34x+4.9=6
0.34x=1.1
X=3.23

Answer: it is possible to buy 3 pounds of apples