Question

Two friends visited a taffy shop. Jill bought 4 kilograms of strawberry taffy and 5 kilograms of banana taffy for $63. Next, Zane bought 1 kilogram of strawberry taffy and 5 kilograms of banana taffy for $42. How much does the candy cost?

Answer 1

To solve this problem, we must create a system of linear equations based on Jill and Zane's purchases and solve for x and y, which represent the cost per kilogram of strawberry and banana taffy respectively.

Step-by-step explanation:

The question involves a system of linear equations where two friends, Jill and Zane, purchase different amounts of strawberry taffy and banana taffy at a taffy shop, and the price they pay is given. We need to find out the cost per kilogram of each flavor of taffy.

Let's define two variables: x for the cost per kilogram of strawberry taffy and y for the cost per kilogram of banana taffy. We have two purchases to create our system of equations:

• 4x + 5y = 63, which is Jill's purchase.
• 1x + 5y = 42, which is Zane's purchase.

These equations can be solved using substitution or elimination methods. Once solved, the values of x and y will give us the cost per kilogram of strawberry and banana taffy.