Question

"Alexander and his children went into a grocery store and he bought $6 worth of bananas and peaches. Each banana costs $0.60 and each peach costs $1.50. He bought a total of 7 bananas and peaches altogether.

Which system of equations represents Alexander's purchase of bananas (b) and peaches (p)?

A. 0.60b + 1.50p = 6 and b + p = 7
B. 0.60p + 1.50b = 6 and p + b = 7
C. 0.60b + 1.50p = 7 and b + p = 6
D. 0.60p + 1.50b = 7 and p + b = 6

Answer 1

The correct system of equations that represents Alexander's purchase of bananas (b) and peaches (p) is A. 0.60b + 1.50p = 6 and b + p = 7.

Step-by-step explanation:

The correct system of equations that represents Alexander's purchase of bananas (b) and peaches (p) is A. 0.60b + 1.50p = 6 and b + p = 7.

To understand why, let's break it down:

1. We know that each banana costs $0.60 and each peach costs $1.50. So the equation 0.60b + 1.50p = 6 represents the total cost of bananas and peaches, which is $6.
2. The equation b + p = 7 represents the total quantity of bananas and peaches that Alexander bought, which is 7.

Therefore, the correct system of equations is A. 0.60b + 1.50p = 6 and b + p = 7.