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Answer :
The total number of dogs that turned up per day for the 3 weeks are;
Day 1 = 12 dogs
Day 2 = 9 dogs
Day 3 = 18dogs
Day 4 = 3 dogs
Day 5= 24 dogs
To find the total number of dogs:
If the same amount of dogs turned up each day over the three weeks then we have;
For week 1
Day 1 = 4 dogs
Day 2 = 3 dogs
Day 3 = 6 dogs
Day 4 = 1 dog
Day 5 = 8 dogs
Total for the week = 22 dogs
For week 2
Day 1 = 4 dogs
Day 2 = 3 dogs
Day 3 = 6 dogs
Day 4 = 1 dog
Day 5 = 8 dogs
Total for the week = 22 dogs
For week 3
Day 1 = 4 dogs
Day 2 = 3 dogs
Day 3 = 6 dogs
Day 4 = 1 dog
Day 5 = 8 dogs
Total for the week = 22 dogs
For the 3 weeks
Day 1: 4 x 3dogs = 12 dogs
Day 2: 3 x 3dogs = 9 dogs
Day 3: 6 x 3dogs = 18dogs
Day 4: 1 x 3dogs = 3 dogs
Day 5: 8 x 3dogs = 24 dogs
Total dogs seen in the 3 weeks = 66 dogs
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Final answer:
Katie saw a total of 22 dogs in a 5-day cycle. Over the span of three weeks (21 days), there are 4 complete cycles and one extra day. Adding up the total dogs from these periods, Katie saw 92 dogs in the park over three weeks.
Explanation:
To answer this question, we first need to sum the total number of dogs that Katie saw at the park in a 5-day period which is 4 + 3 + 6 + 1 + 8 = 22 dogs. This 5-day cycle repeated for the next three weeks. There are 21 days in three weeks. Dividing 21 by 5, we get 4 complete cycles and an additional 1 day from the 5th cycle. In 4 cycles, Katie would have seen a number of dogs equivalent to 4 cycles * 22 dogs = 88 dogs. For the remaining 1 day, based on the pattern, 4 dogs showed up. So, over the span of three weeks, Katie saw 88 + 4 = 92 dogs in the park.
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