Six girls each invited a date to the Sadie Hawkins dance. Before they joined in the fun, each couple worked in a different booth. The booths were Popcorn Sales, Marriage, Hayrides, Old Time Photos, Lemonade, and Raffle Tickets. Grab your partner and go round and round with these statements to deduce which couples worked where! There are 6 girls- Mia, Helen, Annabel, Louise, Megan, and LaShawn, and 6 boys- Jack, Yousef, Alex, Arnie, Joseph, and Tyrone.
Facts:
1. Arnie and LaShawn had to leave their dates momentarily to get ice and butter.
2. Alex, Joseph. and their friends' dates Mia and Annabel left their booths to go on a hayride.
3. Neither Megan nor Alex got sticky or greasy.
4. Tyrone, Yousef, and Jack refused to work in a "love" booth, but Megan wanted to.
5. Helen, La Shawn, and Louise helped their friend set up her photo booth before going back to their dates Tyrone, Arnie, and Joseph.
6. Annabel did not work with her brothers Arnie or Yousef, but her friend Helen worked with one of them at the popcorn booth.
7. Mia's date was a shutterbug.
Let's break down the given facts one by one and eliminate possibilities to deduce which couples worked in which booth.
Fact 1: Arnie and LaShawn had to leave their dates momentarily to get ice and butter.
This means that Arnie and LaShawn were together and left their dates. We don't know which booth they worked in yet, so we'll note that.
Fact 2: Alex, Joseph, and their friends' dates Mia and Annabel left their booths to go on a hayride.
This tells us that Alex and Joseph were together and their dates were Mia and Annabel. We also know that they left their booths to go on a hayride. Since Arnie and LaShawn were together, this means they did not work in the hayride booth.
Fact 3: Neither Megan nor Alex got sticky or greasy.
This means that Megan did not work in the popcorn booth because it involves selling popcorn which could be sticky. So, we'll eliminate Megan from the popcorn booth.
Fact 4: Tyrone, Yousef, and Jack refused to work in a "love" booth, but Megan wanted to.
Since Megan wanted to work in a "love" booth, it means she did not work with Tyrone, Yousef, or Jack, who refused to work in a "love" booth. Therefore, Megan did not work at the marriage booth.
Fact 5: Helen, LaShawn, and Louise helped their friend set up her photo booth before going back to their dates Tyrone, Arnie, and Joseph.
This tells us that Helen, LaShawn, and Louise worked together and helped their friend set up her photo booth. Their dates were Tyrone, Arnie, and Joseph. We also know that Arnie and LaShawn were together, so they didn't work at the photo booth since they left to get ice and butter. This means Helen and Louise worked at the photo booth.
Fact 6: Annabel did not work with her brothers Arnie or Yousef, but her friend Helen worked with one of them at the popcorn booth.
Since Annabel did not work with Arnie or Yousef and Helen worked with one of them at the popcorn booth, we can conclude that Helen worked at the popcorn booth and Annabel did not.
Fact 7: Mia's date was a shutterbug.
This means that Mia's date, who we haven't determined yet, worked at the old-time photos booth.
Now, let's summarize what we have deduced so far:
- Arnie and LaShawn were together and didn't work at the hayride booth.
- Alex and Joseph were together, their dates were Mia and Annabel, and they went on a hayride.
- Megan didn't work at the popcorn or marriage booths and didn't want to work at a "love" booth.
- Tyrone, Yousef, and Jack refused to work at a "love" booth.
- Helen and Louise worked at the photo booth and their dates were Tyrone and Joseph.
- Annabel did not work at the popcorn booth and did not work with her brothers.
- Mia's date worked at the old-time photos booth.
Now, let's assign the remaining couples to their booths:
- Arnie and LaShawn: Ice and butter (temporary absence)
- Alex and Mia: Hayrides
- Joseph and Annabel: Hayrides
- Megan and Yousef: Lemonade (Megan wanted a "love" booth, which eliminates the remaining booths)
- Tyrone and Louise: Raffle Tickets (the only booth remaining)
- Jack and Helen: Popcorn (Helen worked at the popcorn booth)
So, the couples worked in the following booths:
- Popcorn Sales: Jack and Helen
- Marriage: Not determined since Megan didn't want to work at a "love" booth
- Hayrides: Alex and Mia, Joseph and Annabel
- Old Time Photos: Mia's date (not specified)
- Lemonade: Megan and Yousef
- Raffle Tickets: Tyrone and Louise