AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.Two friends visited a taffy shop. Colin bought kilograms of strawberry taffy and kilogram of banana taffy for . Next, Keenan bought kilogram of banana taffy for . How much does the candy cost?A kilogram of strawberry taffy costs _____, and a kilogram of banana taffy costs _____.
Full solution
Q. Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.Two friends visited a taffy shop. Colin bought kilograms of strawberry taffy and kilogram of banana taffy for . Next, Keenan bought kilogram of banana taffy for . How much does the candy cost?A kilogram of strawberry taffy costs _____, and a kilogram of banana taffy costs _____.
- Define Variables: Let's call the price of strawberry taffy per kilogram and the price of banana taffy per kilogram . Colin's purchase gives us the equation . Keenan's purchase gives us the equation .
- Write Augmented Matrix: We can write the system of equations as an augmented matrix. The first row represents Colin's purchase, and the second row represents Keenan's purchase. So we have:
- Eliminate Variable: Since the second row already has a leading in the second column, we can use it to eliminate the variable from the first row. We'll multiply the second row by and add it to the first row.
- Correct Mistake: After the row operation, the new matrix is:Oops, I made a mistake. I should have multiplied the second row by and then multiplied it by before adding it to the first row to eliminate b.
More problems from Solve a system of equations using substitution: word problems
QuestionGet tutor help
QuestionGet tutor help