Question

bananas cost $0.50 each, and apples cost $1.00 each. select all the combinations of bananas and apples that elena could buy for exactly $3.50.
(lesson 2-4)
a) 1 banana and 2 apples
b) 1 banana and 3 apples
c) 2 bananas and 2 apples
d) 3 bananas and 2 apples
e) 5 bananas and 1 apple
f) 5 bananas and 2 apples

Explanation:

Step1: Define variables and formula

Let \( b \) be the number of bananas and \( a \) be the number of apples. The total cost formula is \( 0.50b + 1.00a = 3.50 \).

Step2: Check Option A

For A: \( b = 1 \), \( a = 2 \).
Cost: \( 0.50(1) + 1.00(2) = 0.50 + 2.00 = 2.50
eq 3.50 \). So A is wrong.

Step3: Check Option B

For B: \( b = 1 \), \( a = 3 \).
Cost: \( 0.50(1) + 1.00(3) = 0.50 + 3.00 = 3.50 \). So B is correct.

Step4: Check Option C

For C: \( b = 2 \), \( a = 2 \).
Cost: \( 0.50(2) + 1.00(2) = 1.00 + 2.00 = 3.00
eq 3.50 \). So C is wrong.

Step5: Check Option D

For D: \( b = 3 \), \( a = 2 \).
Cost: \( 0.50(3) + 1.00(2) = 1.50 + 2.00 = 3.50 \). So D is correct.

Step6: Check Option E

For E: \( b = 5 \), \( a = 1 \).
Cost: \( 0.50(5) + 1.00(1) = 2.50 + 1.00 = 3.50 \). So E is correct.

Step7: Check Option F

For F: \( b = 5 \), \( a = 2 \).
Cost: \( 0.50(5) + 1.00(2) = 2.50 + 2.00 = 4.50
eq 3.50 \). So F is wrong.

Answer:

B) 1 banana and 3 apples, D) 3 bananas and 2 apples, E) 5 bananas and 1 apple