Spencer watched a movie about aliens who live on different planets. In the movie, the aliens traveled to a baseball game where there was a free hat giveaway. Spencer thought this was funny because the aliens from each planet have a different number of heads!

Question

At the game, the ballpark manager gave out one hat per head. The manager kept track of how many hats she gave away by writing down the number of aliens and the number of heads on each alien.
Planet of origin Number of heads Number of aliens from the planet
Hinato 8 167
Qui 5 281
Piopio 7 74
How many hats were given away in all?

Answer 1

To calculate the total number of hats given away, we need to multiply the number of heads from each planet by the number of aliens from that planet and then sum these amounts.

Here are the calculations for each planet:

1. Hinato:

   • Number of heads: 8
   • Number of aliens: 167
   • Hats given: \( 8 \times 167 = 1336 \)

2. Qui:

   • Number of heads: 5
   • Number of aliens: 281
   • Hats given: \( 5 \times 281 = 1405 \)

3. Piopio:

   • Number of heads: 7
   • Number of aliens: 74
   • Hats given: \( 7 \times 74 = 518 \)

Now, we add all the hats given away from each planet:

\[ 1336 + 1405 + 518 = 3259 \]

Thus, the total number of hats given away is 3259.