Question

Write a system of equations to describe the situation below, solve using an augmented matrix.At an ice cream store, a family ordered 1 banana split, paying a total of $6 for their order. The next customer ordered 3 banana splits and 1 hot fudge sundae and paid $22. How much does each item cost?A banana split costs $? and a hot fudge sundae costs $?

Answer 1

From the given question

A family ordered 1 banana split, paying a total of $6 for their order

This implies that the cost of a banana split is $6

The next customer ordered 3 banana splits and 1 hot fudge sundae and paid $22

Since the cost of a banana split is $6 then the cost of 3 banana splits is

`3*\$6=\$18`

Since the total amount paid is $22

Then the cost of 1 hot fudge sundae is

`\$22-\$18=\$4`

Therefore the cost of 1 banana split is $6

and the cost of 1 hot fudge is $4