At the store, bananas cost $0.50 per pound and apples cost $1.25 per pound. Diego purchased bananas and apples and spent $2.75.

a. Write a linear equation in standard form for Diego's purchase.

b. Use your equation to determine how many pounds of apples he bought if he purchased 3.5 pounds of bananas.

Question

High School

Answer :

msm555 msm555 · Answer 1 · 2025-04-22T01:40:14-04:00

Answer:

Part a:

Linear equation: 1.25x + 0.50y = 2.75

Part b: 0.8 pounds of apples

Step-by-step explanation:

Part a.

Let x represent the number of pounds of apples that Diego bought and let y represent the number of pounds of bananas that he bought.

Since, bananas cost $0.50 per pound and apples cost

$1.25 per pound.

Diego purchased bananas and apples and spent $2.75.

The linear equation in standard form for Diego's purchase will be:

[tex]\boxed{\boxed{\sf 1.25x + 0.50y = 2.75}}[/tex]

Part b.

Since Diego purchased 3.5 pounds of bananas, we can substitute y = 3.5 into the equation to find the number of pounds of apples he bought:

0.5(3.5) + 1.25x = 2.75

1.75 + 1.25x = 2.75

Subtract 1.75 on both sides:

1.75 + 1.25x - 1.75 = 2.75 - 1.75

1.25x = 1

Divide both sides by 1.25.

[tex]\sf \dfrac{1.25x}{1.25}=\dfrac{1}{1.25}[/tex]

x = 0.8

Therefore, Diego bought 0.8 pounds of apples.