### Brain Teasers

# Poster Kingdom

POSTER PRICES:

12" x 18" posters cost $7

24" x 36" posters cost $9

41" x 20" posters cost $11

The Poster Kingdom is offering a special sale on their posters: "Buy two posters, and take a dollar off one of the posters." Kathy, Lauren, Joe, Travis, and Shirley each bought two posters and spent a total of $85.

Shirley bought two different-size posters, but they were not the same combination as those Travis or Kathy bought.

Kathy spent $17 on two different-size posters.

The two posters Travis bought cover 1,080 square inches.

Lauren spent the most, purchasing two posters of the same size.

How much money did each person spend, and what size posters did they buy?

12" x 18" posters cost $7

24" x 36" posters cost $9

41" x 20" posters cost $11

The Poster Kingdom is offering a special sale on their posters: "Buy two posters, and take a dollar off one of the posters." Kathy, Lauren, Joe, Travis, and Shirley each bought two posters and spent a total of $85.

Shirley bought two different-size posters, but they were not the same combination as those Travis or Kathy bought.

Kathy spent $17 on two different-size posters.

The two posters Travis bought cover 1,080 square inches.

Lauren spent the most, purchasing two posters of the same size.

How much money did each person spend, and what size posters did they buy?

### Hint

Try working backwards.### Answer

Kathy's posters were 12" x 18" and 41" x 20". She spent a total of $17.Lauren's posters were both 41" x 20". She spent a total of $21.

Joe's two posters were 12" x 18". She spent a total of $13.

Travis' posters were 12" x 18" and 24" x 36". He spent a total of $15.

Shirley's posters were 24" x 36" and 41" x 20". She spent a total of $19.

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