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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 $?

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 to class=

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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

[tex]3\times\$6=\$18[/tex]

Since the total amount paid is $22

Then the cost of 1 hot fudge sundae is

[tex]\$22-\$18=\$4[/tex]

Therefore the cost of 1 banana split is $6

and the cost of 1 hot fudge is $4

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