Question

In 5 days she made 80 sandcastles. Each day she made 4 fewer castles than the day before. How many castles did she make each day?

Answer 1

To find out how many sandcastles the student made each day, we can set up a pattern using the given information. By solving the equation, we can determine the number of sandcastles made each day.

Step-by-step explanation:

To find out how many sandcastles the student made each day, we can set up a pattern using the given information.

On the first day, the student made x sandcastles.

On the second day, the student made x - 4 sandcastles.

On the third day, the student made x - 8 sandcastles.

And so on.

We know that the student made a total of 80 sandcastles in 5 days.

So, x + (x - 4) + (x - 8) + (x - 12) + (x - 16) = 80.

Simplifying the equation, we get 5x - 40 = 80.

Adding 40 to both sides, we get 5x = 120.

Dividing both sides by 5, we get x = 24.

So, the student made 24 sandcastles on the first day, 20 sandcastles on the second day, 16 sandcastles on the third day, 12 sandcastles on the fourth day, and 8 sandcastles on the fifth day.

Answer 2

Castles made: N day 1

N - 4 day 2

N - 8 day 3

N - 12 day 4

N - 16 day 5

Total 5 N - 40 = 80

N = 24 total castles day 1

Total castles = 24 + 20 + 16 + 12 + 8 = 80