High School

Woody buys 3 pounds of pears and 5 pounds of bananas for $10.25. Buzz buys 2.5 pounds of pears and 5 pounds of bananas for $9.25. How much does a pound of pears cost?

Answer :

By setting up a system of equations with the given information and subtracting one from the other, we found that the cost per pound of pears is $2.00.

To determine the cost per pound of pears, we set up two equations based on the information provided. Let the cost per pound of pears be p and the cost per pound of bananas be b.

For Woody's purchase, the equation is

3p + 5b = $10.25.

For Buzz's purchase, the equation is

2.5p + 5b = $9.25.

To find the cost of pears, we can eliminate the bananas by subtracting the second equation from the first, which gives us 0.5p = $1.00.

Solving for p, we find that p = $2.00.

Therefore, the cost per pound of pears is $2.00.