High School

Katrina's budget for ice cream and sudoku puzzle books is $30 a week. The price of an ice cream scoop is $4, and the price of a sudoku book is $6. Which of the following combinations of ice cream scoops and sudoku books is impossible for Katrina?

A. 1 scoop of ice cream and 2 sudoku books
B. 6 scoops of ice cream and 0 sudoku books
C. 5 scoops of ice cream and 2 sudoku books
D. 2 scoops of ice cream and 3 sudoku books

Answer :

The combination that is impossible for Katrina is 5 scoops of ice cream and 2 sudoku books.

Let's consider each combination:

1. 1 scoop of ice cream and 2 sudoku books:

- Cost of 1 scoop of ice cream: $4

- Cost of 2 sudoku books: $6 * 2 = $12

- Total cost: $4 + $12 = $16

This combination is possible within the budget of $30, so it is not impossible for Katrina.

2. 6 scoops of ice cream and 0 sudoku books:

- Cost of 6 scoops of ice cream: $4 * 6 = $24

- Cost of 0 sudoku books: $6 * 0 = $0

- Total cost: $24 + $0 = $24

This combination is possible within the budget of $30, so it is not impossible for Katrina.

3. 5 scoops of ice cream and 2 sudoku books:

- Cost of 5 scoops of ice cream: $4 * 5 = $20

- Cost of 2 sudoku books: $6 * 2 = $12

- Total cost: $20 + $12 = $32

This combination exceeds Katrina's budget of $30, so it is impossible for her.

4. 2 scoops of ice cream and 3 sudoku books:

- Cost of 2 scoops of ice cream: $4 * 2 = $8

- Cost of 3 sudoku books: $6 * 3 = $18

- Total cost: $8 + $18 = $26

This combination is possible within the budget of $30, so it is not impossible for Katrina.

Therefore, the combination that is impossible for Katrina is 5 scoops of ice cream and 2 sudoku books.

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