When three friends - Nadya, Valya, and Masha - went out for a walk, they were wearing white, red, and blue dresses. Their shoes were of the same three colors, but only Nadya had matching dress and shoe colors. Valya's dress and shoes were not blue, and Masha was wearing red shoes. Determine the color of the dresses and shoes of each of the friends.

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Valya has white shoes - why? Recall problem 132.

## Solution

Valya's shoes are not blue (by condition) and not red (red ones are Masha's), therefore, Valya has white shoes; Nadya, thus, has the remaining blue ones. This, in turn, means that Nadya has a blue dress (by condition, the color of the shoes and dress match for Nadya). Then Valya has a red dress, and Masha has a white one (since by condition, the shoes and dress are of different colors for them, and not blue, as everything blue is on Nadya).

Thus: Nadya has blue shoes and a blue dress; Valya has white shoes and a red dress; Masha has red shoes and a white dress. 1

## Answer

Nadya has blue shoes and a blue dress; Valya has white shoes and a red dress; Masha has red shoes and a white dress. Send a comment

Problem